5x+100=2x+200

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


Simplifying
5x + 100 = 2x + 200

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

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

Solving
100 + 5x = 200 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
100 + 5x + -2x = 200 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
100 + 3x = 200 + 0
100 + 3x = 200

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

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

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

Divide each side by '3'.
x = 33.33333333

Simplifying
x = 33.33333333

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