2(x+12)=3x-15

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Solution for 2(x+12)=3x-15 equation:


Simplifying
2(x + 12) = 3x + -15

Reorder the terms:
2(12 + x) = 3x + -15
(12 * 2 + x * 2) = 3x + -15
(24 + 2x) = 3x + -15

Reorder the terms:
24 + 2x = -15 + 3x

Solving
24 + 2x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
24 + 2x + -3x = -15 + 3x + -3x

Combine like terms: 2x + -3x = -1x
24 + -1x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -1x = -15 + 0
24 + -1x = -15

Add '-24' to each side of the equation.
24 + -24 + -1x = -15 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = -15 + -24
-1x = -15 + -24

Combine like terms: -15 + -24 = -39
-1x = -39

Divide each side by '-1'.
x = 39

Simplifying
x = 39

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