2x+200=5x+100

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Solution for 2x+200=5x+100 equation:


Simplifying
2x + 200 = 5x + 100

Reorder the terms:
200 + 2x = 5x + 100

Reorder the terms:
200 + 2x = 100 + 5x

Solving
200 + 2x = 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.
200 + 2x + -5x = 100 + 5x + -5x

Combine like terms: 2x + -5x = -3x
200 + -3x = 100 + 5x + -5x

Combine like terms: 5x + -5x = 0
200 + -3x = 100 + 0
200 + -3x = 100

Add '-200' to each side of the equation.
200 + -200 + -3x = 100 + -200

Combine like terms: 200 + -200 = 0
0 + -3x = 100 + -200
-3x = 100 + -200

Combine like terms: 100 + -200 = -100
-3x = -100

Divide each side by '-3'.
x = 33.33333333

Simplifying
x = 33.33333333

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