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

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


Simplifying
3 + -1(3 + -1x)(x + 4) = (x + -4)(x + 7) + -3

Reorder the terms:
3 + -1(3 + -1x)(4 + x) = (x + -4)(x + 7) + -3

Multiply (3 + -1x) * (4 + x)
3 + -1(3(4 + x) + -1x * (4 + x)) = (x + -4)(x + 7) + -3
3 + -1((4 * 3 + x * 3) + -1x * (4 + x)) = (x + -4)(x + 7) + -3
3 + -1((12 + 3x) + -1x * (4 + x)) = (x + -4)(x + 7) + -3
3 + -1(12 + 3x + (4 * -1x + x * -1x)) = (x + -4)(x + 7) + -3
3 + -1(12 + 3x + (-4x + -1x2)) = (x + -4)(x + 7) + -3

Combine like terms: 3x + -4x = -1x
3 + -1(12 + -1x + -1x2) = (x + -4)(x + 7) + -3
3 + (12 * -1 + -1x * -1 + -1x2 * -1) = (x + -4)(x + 7) + -3
3 + (-12 + 1x + 1x2) = (x + -4)(x + 7) + -3

Combine like terms: 3 + -12 = -9
-9 + 1x + 1x2 = (x + -4)(x + 7) + -3

Reorder the terms:
-9 + 1x + 1x2 = (-4 + x)(x + 7) + -3

Reorder the terms:
-9 + 1x + 1x2 = (-4 + x)(7 + x) + -3

Multiply (-4 + x) * (7 + x)
-9 + 1x + 1x2 = (-4(7 + x) + x(7 + x)) + -3
-9 + 1x + 1x2 = ((7 * -4 + x * -4) + x(7 + x)) + -3
-9 + 1x + 1x2 = ((-28 + -4x) + x(7 + x)) + -3
-9 + 1x + 1x2 = (-28 + -4x + (7 * x + x * x)) + -3
-9 + 1x + 1x2 = (-28 + -4x + (7x + x2)) + -3

Combine like terms: -4x + 7x = 3x
-9 + 1x + 1x2 = (-28 + 3x + x2) + -3

Reorder the terms:
-9 + 1x + 1x2 = -28 + -3 + 3x + x2

Combine like terms: -28 + -3 = -31
-9 + 1x + 1x2 = -31 + 3x + x2

Solving
-9 + 1x + 1x2 = -31 + 3x + x2

Solving for variable 'x'.

Reorder the terms:
-9 + 31 + 1x + -3x + 1x2 + -1x2 = -31 + 3x + x2 + 31 + -3x + -1x2

Combine like terms: -9 + 31 = 22
22 + 1x + -3x + 1x2 + -1x2 = -31 + 3x + x2 + 31 + -3x + -1x2

Combine like terms: 1x + -3x = -2x
22 + -2x + 1x2 + -1x2 = -31 + 3x + x2 + 31 + -3x + -1x2

Combine like terms: 1x2 + -1x2 = 0
22 + -2x + 0 = -31 + 3x + x2 + 31 + -3x + -1x2
22 + -2x = -31 + 3x + x2 + 31 + -3x + -1x2

Reorder the terms:
22 + -2x = -31 + 31 + 3x + -3x + x2 + -1x2

Combine like terms: -31 + 31 = 0
22 + -2x = 0 + 3x + -3x + x2 + -1x2
22 + -2x = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
22 + -2x = 0 + x2 + -1x2
22 + -2x = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
22 + -2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + -1x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {11}

See similar equations:

| 175n=(n-2)*180 | | 4x+3=6-(9x-6) | | 9(y+5)=5 | | 98*14y= | | 15x+12y=200 | | -5y+32=-18 | | 10y+3=70 | | 14y*14y= | | 6(2x+5)=-6 | | -x-2y-3x=1 | | 2(x+2)-1=7 | | 15y+1=45 | | 14x*3+5=33 | | 150n=(n-2)180 | | 7z/8-5z/9=1 | | -4(y+1)+5=-3 | | 3(x+2)-1=23 | | 18x+29y=632 | | -4(t-4)+7t=8t-2 | | (10x+1)=90 | | Sinx=31.194 | | X/5=24/60 | | 2x^2+3x+12= | | -9x+7=3x-19 | | a/5-1/5=-3 | | 3[6x+8]=24+18x | | 3x+x=-13 | | -2n+18=70 | | 18x+26=98 | | A-1/5=-15 | | -4x+3+5x=-19+10 | | 16y+23y+-3=16y-2y+2 |

Equations solver categories