2x+15=3x-12

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


Simplifying
2x + 15 = 3x + -12

Reorder the terms:
15 + 2x = 3x + -12

Reorder the terms:
15 + 2x = -12 + 3x

Solving
15 + 2x = -12 + 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.
15 + 2x + -3x = -12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
15 + -1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -1x = -12 + 0
15 + -1x = -12

Add '-15' to each side of the equation.
15 + -15 + -1x = -12 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -12 + -15
-1x = -12 + -15

Combine like terms: -12 + -15 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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