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

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


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

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

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

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

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

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

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

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

Combine like terms: -4x + 3x = -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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