100x+200=5x-50

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Solution for 100x+200=5x-50 equation:


Simplifying
100x + 200 = 5x + -50

Reorder the terms:
200 + 100x = 5x + -50

Reorder the terms:
200 + 100x = -50 + 5x

Solving
200 + 100x = -50 + 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 + 100x + -5x = -50 + 5x + -5x

Combine like terms: 100x + -5x = 95x
200 + 95x = -50 + 5x + -5x

Combine like terms: 5x + -5x = 0
200 + 95x = -50 + 0
200 + 95x = -50

Add '-200' to each side of the equation.
200 + -200 + 95x = -50 + -200

Combine like terms: 200 + -200 = 0
0 + 95x = -50 + -200
95x = -50 + -200

Combine like terms: -50 + -200 = -250
95x = -250

Divide each side by '95'.
x = -2.631578947

Simplifying
x = -2.631578947

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