-6(-6x+8)+12=6(5x-4)

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Solution for -6(-6x+8)+12=6(5x-4) equation:


Simplifying
-6(-6x + 8) + 12 = 6(5x + -4)

Reorder the terms:
-6(8 + -6x) + 12 = 6(5x + -4)
(8 * -6 + -6x * -6) + 12 = 6(5x + -4)
(-48 + 36x) + 12 = 6(5x + -4)

Reorder the terms:
-48 + 12 + 36x = 6(5x + -4)

Combine like terms: -48 + 12 = -36
-36 + 36x = 6(5x + -4)

Reorder the terms:
-36 + 36x = 6(-4 + 5x)
-36 + 36x = (-4 * 6 + 5x * 6)
-36 + 36x = (-24 + 30x)

Solving
-36 + 36x = -24 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-36 + 36x + -30x = -24 + 30x + -30x

Combine like terms: 36x + -30x = 6x
-36 + 6x = -24 + 30x + -30x

Combine like terms: 30x + -30x = 0
-36 + 6x = -24 + 0
-36 + 6x = -24

Add '36' to each side of the equation.
-36 + 36 + 6x = -24 + 36

Combine like terms: -36 + 36 = 0
0 + 6x = -24 + 36
6x = -24 + 36

Combine like terms: -24 + 36 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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