5x+10=3x-12

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Solution for 5x+10=3x-12 equation:


Simplifying
5x + 10 = 3x + -12

Reorder the terms:
10 + 5x = 3x + -12

Reorder the terms:
10 + 5x = -12 + 3x

Solving
10 + 5x = -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.
10 + 5x + -3x = -12 + 3x + -3x

Combine like terms: 5x + -3x = 2x
10 + 2x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 2x = -12 + 0
10 + 2x = -12

Add '-10' to each side of the equation.
10 + -10 + 2x = -12 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = -12 + -10
2x = -12 + -10

Combine like terms: -12 + -10 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

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