2(x+12)=5x-12

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Solution for 2(x+12)=5x-12 equation:


Simplifying
2(x + 12) = 5x + -12

Reorder the terms:
2(12 + x) = 5x + -12
(12 * 2 + x * 2) = 5x + -12
(24 + 2x) = 5x + -12

Reorder the terms:
24 + 2x = -12 + 5x

Solving
24 + 2x = -12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
24 + 2x + -5x = -12 + 5x + -5x

Combine like terms: 2x + -5x = -3x
24 + -3x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -3x = -12 + 0
24 + -3x = -12

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

Combine like terms: 24 + -24 = 0
0 + -3x = -12 + -24
-3x = -12 + -24

Combine like terms: -12 + -24 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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