5x+3=2x-12

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Solution for 5x+3=2x-12 equation: 


Simplifying
5x + 3 = 2x + -12

Reorder the terms:
3 + 5x = 2x + -12

Reorder the terms:
3 + 5x = -12 + 2x

Solving
3 + 5x = -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.
3 + 5x + -2x = -12 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
3 + 3x = -12 + 0
3 + 3x = -12

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

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

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

Divide each side by '3'.
x = -5

Simplifying
x = -5

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