x+20=5x-12

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


Simplifying
x + 20 = 5x + -12

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

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

Solving
20 + x = -12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + x + -5x = -12 + 5x + -5x

Combine like terms: x + -5x = -4x
20 + -4x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -4x = -12 + 0
20 + -4x = -12

Add '-20' to each side of the equation.
20 + -20 + -4x = -12 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = -12 + -20
-4x = -12 + -20

Combine like terms: -12 + -20 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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