5x-100=x-20

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Solution for 5x-100=x-20 equation:


Simplifying
5x + -100 = x + -20

Reorder the terms:
-100 + 5x = x + -20

Reorder the terms:
-100 + 5x = -20 + x

Solving
-100 + 5x = -20 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-100 + 5x + -1x = -20 + x + -1x

Combine like terms: 5x + -1x = 4x
-100 + 4x = -20 + x + -1x

Combine like terms: x + -1x = 0
-100 + 4x = -20 + 0
-100 + 4x = -20

Add '100' to each side of the equation.
-100 + 100 + 4x = -20 + 100

Combine like terms: -100 + 100 = 0
0 + 4x = -20 + 100
4x = -20 + 100

Combine like terms: -20 + 100 = 80
4x = 80

Divide each side by '4'.
x = 20

Simplifying
x = 20

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