(x+2)*(3x-6)=(x+1)*(3x-4)

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Solution for (x+2)*(3x-6)=(x+1)*(3x-4) equation: 


Simplifying
(x + 2)(3x + -6) = (x + 1)(3x + -4)

Reorder the terms:
(2 + x)(3x + -6) = (x + 1)(3x + -4)

Reorder the terms:
(2 + x)(-6 + 3x) = (x + 1)(3x + -4)

Multiply (2 + x) * (-6 + 3x)
(2(-6 + 3x) + x(-6 + 3x)) = (x + 1)(3x + -4)
((-6 * 2 + 3x * 2) + x(-6 + 3x)) = (x + 1)(3x + -4)
((-12 + 6x) + x(-6 + 3x)) = (x + 1)(3x + -4)
(-12 + 6x + (-6 * x + 3x * x)) = (x + 1)(3x + -4)
(-12 + 6x + (-6x + 3x2)) = (x + 1)(3x + -4)

Combine like terms: 6x + -6x = 0
(-12 + 0 + 3x2) = (x + 1)(3x + -4)
(-12 + 3x2) = (x + 1)(3x + -4)

Reorder the terms:
-12 + 3x2 = (1 + x)(3x + -4)

Reorder the terms:
-12 + 3x2 = (1 + x)(-4 + 3x)

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

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

Add '-3x2' to each side of the equation.
-12 + 3x2 + -3x2 = -4 + -1x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-12 + 0 = -4 + -1x + 3x2 + -3x2
-12 = -4 + -1x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-12 = -4 + -1x + 0
-12 = -4 + -1x

Solving
-12 = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-12 + x = -4 + -1x + x

Combine like terms: -1x + x = 0
-12 + x = -4 + 0
-12 + x = -4

Add '12' to each side of the equation.
-12 + 12 + x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + x = -4 + 12
x = -4 + 12

Combine like terms: -4 + 12 = 8
x = 8

Simplifying
x = 8

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