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

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


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

Reorder the terms:
4(4 + x) = 6(2x + -2) + 12
(4 * 4 + x * 4) = 6(2x + -2) + 12
(16 + 4x) = 6(2x + -2) + 12

Reorder the terms:
16 + 4x = 6(-2 + 2x) + 12
16 + 4x = (-2 * 6 + 2x * 6) + 12
16 + 4x = (-12 + 12x) + 12

Reorder the terms:
16 + 4x = -12 + 12 + 12x

Combine like terms: -12 + 12 = 0
16 + 4x = 0 + 12x
16 + 4x = 12x

Solving
16 + 4x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
16 + 4x + -12x = 12x + -12x

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

Combine like terms: 12x + -12x = 0
16 + -8x = 0

Add '-16' to each side of the equation.
16 + -16 + -8x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -8x = 0 + -16
-8x = 0 + -16

Combine like terms: 0 + -16 = -16
-8x = -16

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

Simplifying
x = 2

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