4(x+8)=12x-12

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


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

Reorder the terms:
4(8 + x) = 12x + -12
(8 * 4 + x * 4) = 12x + -12
(32 + 4x) = 12x + -12

Reorder the terms:
32 + 4x = -12 + 12x

Solving
32 + 4x = -12 + 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.
32 + 4x + -12x = -12 + 12x + -12x

Combine like terms: 4x + -12x = -8x
32 + -8x = -12 + 12x + -12x

Combine like terms: 12x + -12x = 0
32 + -8x = -12 + 0
32 + -8x = -12

Add '-32' to each side of the equation.
32 + -32 + -8x = -12 + -32

Combine like terms: 32 + -32 = 0
0 + -8x = -12 + -32
-8x = -12 + -32

Combine like terms: -12 + -32 = -44
-8x = -44

Divide each side by '-8'.
x = 5.5

Simplifying
x = 5.5

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