3(x+8)=x-12

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Solution for 3(x+8)=x-12 equation:


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

Reorder the terms:
3(8 + x) = x + -12
(8 * 3 + x * 3) = x + -12
(24 + 3x) = x + -12

Reorder the terms:
24 + 3x = -12 + x

Solving
24 + 3x = -12 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
24 + 3x + -1x = -12 + x + -1x

Combine like terms: 3x + -1x = 2x
24 + 2x = -12 + x + -1x

Combine like terms: x + -1x = 0
24 + 2x = -12 + 0
24 + 2x = -12

Add '-24' to each side of the equation.
24 + -24 + 2x = -12 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = -12 + -24
2x = -12 + -24

Combine like terms: -12 + -24 = -36
2x = -36

Divide each side by '2'.
x = -18

Simplifying
x = -18

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