5x+12=3x-20

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Solution for 5x+12=3x-20 equation:


Simplifying
5x + 12 = 3x + -20

Reorder the terms:
12 + 5x = 3x + -20

Reorder the terms:
12 + 5x = -20 + 3x

Solving
12 + 5x = -20 + 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.
12 + 5x + -3x = -20 + 3x + -3x

Combine like terms: 5x + -3x = 2x
12 + 2x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 2x = -20 + 0
12 + 2x = -20

Add '-12' to each side of the equation.
12 + -12 + 2x = -20 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -20 + -12
2x = -20 + -12

Combine like terms: -20 + -12 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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