2x+20=5x-16

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Solution for 2x+20=5x-16 equation:


Simplifying
2x + 20 = 5x + -16

Reorder the terms:
20 + 2x = 5x + -16

Reorder the terms:
20 + 2x = -16 + 5x

Solving
20 + 2x = -16 + 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 + 2x + -5x = -16 + 5x + -5x

Combine like terms: 2x + -5x = -3x
20 + -3x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -3x = -16 + 0
20 + -3x = -16

Add '-20' to each side of the equation.
20 + -20 + -3x = -16 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = -16 + -20
-3x = -16 + -20

Combine like terms: -16 + -20 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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