10x+20=5x-100

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Solution for 10x+20=5x-100 equation:


Simplifying
10x + 20 = 5x + -100

Reorder the terms:
20 + 10x = 5x + -100

Reorder the terms:
20 + 10x = -100 + 5x

Solving
20 + 10x = -100 + 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 + 10x + -5x = -100 + 5x + -5x

Combine like terms: 10x + -5x = 5x
20 + 5x = -100 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + 5x = -100 + 0
20 + 5x = -100

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

Combine like terms: 20 + -20 = 0
0 + 5x = -100 + -20
5x = -100 + -20

Combine like terms: -100 + -20 = -120
5x = -120

Divide each side by '5'.
x = -24

Simplifying
x = -24

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