x+20=5(x-100)

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Solution for x+20=5(x-100) equation:


Simplifying
x + 20 = 5(x + -100)

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

Reorder the terms:
20 + x = 5(-100 + x)
20 + x = (-100 * 5 + x * 5)
20 + x = (-500 + 5x)

Solving
20 + x = -500 + 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 = -500 + 5x + -5x

Combine like terms: x + -5x = -4x
20 + -4x = -500 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -4x = -500 + 0
20 + -4x = -500

Add '-20' to each side of the equation.
20 + -20 + -4x = -500 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = -500 + -20
-4x = -500 + -20

Combine like terms: -500 + -20 = -520
-4x = -520

Divide each side by '-4'.
x = 130

Simplifying
x = 130

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