5x-100=10x-200

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Solution for 5x-100=10x-200 equation:


Simplifying
5x + -100 = 10x + -200

Reorder the terms:
-100 + 5x = 10x + -200

Reorder the terms:
-100 + 5x = -200 + 10x

Solving
-100 + 5x = -200 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-100 + 5x + -10x = -200 + 10x + -10x

Combine like terms: 5x + -10x = -5x
-100 + -5x = -200 + 10x + -10x

Combine like terms: 10x + -10x = 0
-100 + -5x = -200 + 0
-100 + -5x = -200

Add '100' to each side of the equation.
-100 + 100 + -5x = -200 + 100

Combine like terms: -100 + 100 = 0
0 + -5x = -200 + 100
-5x = -200 + 100

Combine like terms: -200 + 100 = -100
-5x = -100

Divide each side by '-5'.
x = 20

Simplifying
x = 20

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