5(x+8)7x=(2x-4)

Simple and best practice solution for 5(x+8)7x=(2x-4) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 5(x+8)7x=(2x-4) equation:


Simplifying
5(x + 8) * 7x = (2x + -4)

Reorder the terms:
5(8 + x) * 7x = (2x + -4)

Reorder the terms for easier multiplication:
5 * 7x(8 + x) = (2x + -4)

Multiply 5 * 7
35x(8 + x) = (2x + -4)
(8 * 35x + x * 35x) = (2x + -4)
(280x + 35x2) = (2x + -4)

Reorder the terms:
280x + 35x2 = (-4 + 2x)

Remove parenthesis around (-4 + 2x)
280x + 35x2 = -4 + 2x

Solving
280x + 35x2 = -4 + 2x

Solving for variable 'x'.

Reorder the terms:
4 + 280x + -2x + 35x2 = -4 + 2x + 4 + -2x

Combine like terms: 280x + -2x = 278x
4 + 278x + 35x2 = -4 + 2x + 4 + -2x

Reorder the terms:
4 + 278x + 35x2 = -4 + 4 + 2x + -2x

Combine like terms: -4 + 4 = 0
4 + 278x + 35x2 = 0 + 2x + -2x
4 + 278x + 35x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 278x + 35x2 = 0

Begin completing the square.  Divide all terms by
35 the coefficient of the squared term: 

Divide each side by '35'.
0.1142857143 + 7.942857143x + x2 = 0

Move the constant term to the right:

Add '-0.1142857143' to each side of the equation.
0.1142857143 + 7.942857143x + -0.1142857143 + x2 = 0 + -0.1142857143

Reorder the terms:
0.1142857143 + -0.1142857143 + 7.942857143x + x2 = 0 + -0.1142857143

Combine like terms: 0.1142857143 + -0.1142857143 = 0.0000000000
0.0000000000 + 7.942857143x + x2 = 0 + -0.1142857143
7.942857143x + x2 = 0 + -0.1142857143

Combine like terms: 0 + -0.1142857143 = -0.1142857143
7.942857143x + x2 = -0.1142857143

The x term is 7.942857143x.  Take half its coefficient (3.971428572).
Square it (15.77224490) and add it to both sides.

Add '15.77224490' to each side of the equation.
7.942857143x + 15.77224490 + x2 = -0.1142857143 + 15.77224490

Reorder the terms:
15.77224490 + 7.942857143x + x2 = -0.1142857143 + 15.77224490

Combine like terms: -0.1142857143 + 15.77224490 = 15.6579591857
15.77224490 + 7.942857143x + x2 = 15.6579591857

Factor a perfect square on the left side:
(x + 3.971428572)(x + 3.971428572) = 15.6579591857

Calculate the square root of the right side: 3.957013923

Break this problem into two subproblems by setting 
(x + 3.971428572) equal to 3.957013923 and -3.957013923.

Subproblem 1

x + 3.971428572 = 3.957013923 Simplifying x + 3.971428572 = 3.957013923 Reorder the terms: 3.971428572 + x = 3.957013923 Solving 3.971428572 + x = 3.957013923 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.971428572' to each side of the equation. 3.971428572 + -3.971428572 + x = 3.957013923 + -3.971428572 Combine like terms: 3.971428572 + -3.971428572 = 0.000000000 0.000000000 + x = 3.957013923 + -3.971428572 x = 3.957013923 + -3.971428572 Combine like terms: 3.957013923 + -3.971428572 = -0.014414649 x = -0.014414649 Simplifying x = -0.014414649

Subproblem 2

x + 3.971428572 = -3.957013923 Simplifying x + 3.971428572 = -3.957013923 Reorder the terms: 3.971428572 + x = -3.957013923 Solving 3.971428572 + x = -3.957013923 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.971428572' to each side of the equation. 3.971428572 + -3.971428572 + x = -3.957013923 + -3.971428572 Combine like terms: 3.971428572 + -3.971428572 = 0.000000000 0.000000000 + x = -3.957013923 + -3.971428572 x = -3.957013923 + -3.971428572 Combine like terms: -3.957013923 + -3.971428572 = -7.928442495 x = -7.928442495 Simplifying x = -7.928442495

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.014414649, -7.928442495}

See similar equations:

| A(A+8)= | | -s-3=5s+21 | | 18-x=(11-x)+3 | | 3x+5x+6+3=+5-6-8x+2x | | 6x-3=-18tx | | 4sin(6)xcos(6)x=2sin(12)x | | 30.26s-35.60= | | y=2(-1)-10 | | x(x-y)dy+y^2dx=0 | | (3+5i)(3-5i)= | | 7x(5)+(-83-1.358y)=-3 | | 2(3x+6)=2(x+3) | | -(7x-10y)-3(4x+9y)= | | x(a-2)=b+3 | | b^4+3b^2-108=0 | | ax-b=2x+3 | | 9(-x+3)=89 | | 8(5+y)=5y+90 | | 6+4x=2x+6 | | 12-n-8n= | | (1+2i)-(8+8i)= | | -x^2+20x-51= | | 2(3x+x)=2(x+3) | | y^2-22y= | | 5x^2-10=10 | | x^2+kx-18=0 | | 2(49)= | | -3(-22)= | | 7(12)= | | (8x-3)+(7x+7)= | | 6*x=2x*6 | | 0.25x=4x |

Equations solver categories