(3x-3)(x+4)=3x(x-3)-102

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Solution for (3x-3)(x+4)=3x(x-3)-102 equation: 


Simplifying
(3x + -3)(x + 4) = 3x(x + -3) + -102

Reorder the terms:
(-3 + 3x)(x + 4) = 3x(x + -3) + -102

Reorder the terms:
(-3 + 3x)(4 + x) = 3x(x + -3) + -102

Multiply (-3 + 3x) * (4 + x)
(-3(4 + x) + 3x * (4 + x)) = 3x(x + -3) + -102
((4 * -3 + x * -3) + 3x * (4 + x)) = 3x(x + -3) + -102
((-12 + -3x) + 3x * (4 + x)) = 3x(x + -3) + -102
(-12 + -3x + (4 * 3x + x * 3x)) = 3x(x + -3) + -102
(-12 + -3x + (12x + 3x2)) = 3x(x + -3) + -102

Combine like terms: -3x + 12x = 9x
(-12 + 9x + 3x2) = 3x(x + -3) + -102

Reorder the terms:
-12 + 9x + 3x2 = 3x(-3 + x) + -102
-12 + 9x + 3x2 = (-3 * 3x + x * 3x) + -102
-12 + 9x + 3x2 = (-9x + 3x2) + -102

Reorder the terms:
-12 + 9x + 3x2 = -102 + -9x + 3x2

Add '-3x2' to each side of the equation.
-12 + 9x + 3x2 + -3x2 = -102 + -9x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-12 + 9x + 0 = -102 + -9x + 3x2 + -3x2
-12 + 9x = -102 + -9x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-12 + 9x = -102 + -9x + 0
-12 + 9x = -102 + -9x

Solving
-12 + 9x = -102 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-12 + 9x + 9x = -102 + -9x + 9x

Combine like terms: 9x + 9x = 18x
-12 + 18x = -102 + -9x + 9x

Combine like terms: -9x + 9x = 0
-12 + 18x = -102 + 0
-12 + 18x = -102

Add '12' to each side of the equation.
-12 + 12 + 18x = -102 + 12

Combine like terms: -12 + 12 = 0
0 + 18x = -102 + 12
18x = -102 + 12

Combine like terms: -102 + 12 = -90
18x = -90

Divide each side by '18'.
x = -5

Simplifying
x = -5

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