4x-16=5x+20

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Solution for 4x-16=5x+20 equation:


Simplifying
4x + -16 = 5x + 20

Reorder the terms:
-16 + 4x = 5x + 20

Reorder the terms:
-16 + 4x = 20 + 5x

Solving
-16 + 4x = 20 + 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.
-16 + 4x + -5x = 20 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-16 + -1x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -1x = 20 + 0
-16 + -1x = 20

Add '16' to each side of the equation.
-16 + 16 + -1x = 20 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 20 + 16
-1x = 20 + 16

Combine like terms: 20 + 16 = 36
-1x = 36

Divide each side by '-1'.
x = -36

Simplifying
x = -36

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