8(x+4)=2x-12

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


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

Reorder the terms:
8(4 + x) = 2x + -12
(4 * 8 + x * 8) = 2x + -12
(32 + 8x) = 2x + -12

Reorder the terms:
32 + 8x = -12 + 2x

Solving
32 + 8x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
32 + 8x + -2x = -12 + 2x + -2x

Combine like terms: 8x + -2x = 6x
32 + 6x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
32 + 6x = -12 + 0
32 + 6x = -12

Add '-32' to each side of the equation.
32 + -32 + 6x = -12 + -32

Combine like terms: 32 + -32 = 0
0 + 6x = -12 + -32
6x = -12 + -32

Combine like terms: -12 + -32 = -44
6x = -44

Divide each side by '6'.
x = -7.333333333

Simplifying
x = -7.333333333

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