6(x-6+4)=8(x+2)-12

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Solution for 6(x-6+4)=8(x+2)-12 equation: 


Simplifying
6(x + -6 + 4) = 8(x + 2) + -12

Reorder the terms:
6(-6 + 4 + x) = 8(x + 2) + -12

Combine like terms: -6 + 4 = -2
6(-2 + x) = 8(x + 2) + -12
(-2 * 6 + x * 6) = 8(x + 2) + -12
(-12 + 6x) = 8(x + 2) + -12

Reorder the terms:
-12 + 6x = 8(2 + x) + -12
-12 + 6x = (2 * 8 + x * 8) + -12
-12 + 6x = (16 + 8x) + -12

Reorder the terms:
-12 + 6x = 16 + -12 + 8x

Combine like terms: 16 + -12 = 4
-12 + 6x = 4 + 8x

Solving
-12 + 6x = 4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-12 + 6x + -8x = 4 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-12 + -2x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -2x = 4 + 0
-12 + -2x = 4

Add '12' to each side of the equation.
-12 + 12 + -2x = 4 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = 4 + 12
-2x = 4 + 12

Combine like terms: 4 + 12 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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