2x-7=2x(x+4)+3x

Simple and best practice solution for 2x-7=2x(x+4)+3x 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 2x-7=2x(x+4)+3x equation:


Simplifying
2x + -7 = 2x(x + 4) + 3x

Reorder the terms:
-7 + 2x = 2x(x + 4) + 3x

Reorder the terms:
-7 + 2x = 2x(4 + x) + 3x
-7 + 2x = (4 * 2x + x * 2x) + 3x
-7 + 2x = (8x + 2x2) + 3x

Reorder the terms:
-7 + 2x = 8x + 3x + 2x2

Combine like terms: 8x + 3x = 11x
-7 + 2x = 11x + 2x2

Solving
-7 + 2x = 11x + 2x2

Solving for variable 'x'.

Combine like terms: 2x + -11x = -9x
-7 + -9x + -2x2 = 11x + 2x2 + -11x + -2x2

Reorder the terms:
-7 + -9x + -2x2 = 11x + -11x + 2x2 + -2x2

Combine like terms: 11x + -11x = 0
-7 + -9x + -2x2 = 0 + 2x2 + -2x2
-7 + -9x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-7 + -9x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + 9x + 2x2) = 0

Factor a trinomial.
-1((7 + 2x)(1 + x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-3.5, -1}

See similar equations:

| 5z+z=6z-3 | | 3(x+2)=2x+x+x+6 | | 3x+10=7y | | x=16-12k | | 63/21=x/3 | | 25x+23-10=113 | | 8/3m=6 | | 166r=-8r-180-24r^2 | | 15/30=9/x | | 7x-67=-3x-7 | | 5(x-4)-12x+13=0 | | 1+3x=901 | | 7/14=1/x | | 1+3x=903 | | 5(x-4)-12x+13= | | 2c+18=7c-2 | | 8.8(x-3.5)=-35.2 | | 72x+2=13 | | H=x(y^3)(y^2) | | y=8x+8x-7 | | 25x+23-10=114 | | 5/4=x/8 | | 21.6-(.08Y)=Y | | 15+p=30 | | 9(3x-0.3)=7x-2.7 | | x^3-25x=0-(5x-3)-1 | | 54=5x+7-3 | | 145=3x+5(4x+6) | | (y^2)/7=y | | 1.4x-4.2=0.5x+3.27 | | 8x^2-9x=-7 | | 270-(.08Y)=Y |

Equations solver categories