100x-200=50x+50

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Solution for 100x-200=50x+50 equation:


Simplifying
100x + -200 = 50x + 50

Reorder the terms:
-200 + 100x = 50x + 50

Reorder the terms:
-200 + 100x = 50 + 50x

Solving
-200 + 100x = 50 + 50x

Solving for variable 'x'.

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

Add '-50x' to each side of the equation.
-200 + 100x + -50x = 50 + 50x + -50x

Combine like terms: 100x + -50x = 50x
-200 + 50x = 50 + 50x + -50x

Combine like terms: 50x + -50x = 0
-200 + 50x = 50 + 0
-200 + 50x = 50

Add '200' to each side of the equation.
-200 + 200 + 50x = 50 + 200

Combine like terms: -200 + 200 = 0
0 + 50x = 50 + 200
50x = 50 + 200

Combine like terms: 50 + 200 = 250
50x = 250

Divide each side by '50'.
x = 5

Simplifying
x = 5

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