100-5x=2x+9

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Solution for 100-5x=2x+9 equation:


Simplifying
100 + -5x = 2x + 9

Reorder the terms:
100 + -5x = 9 + 2x

Solving
100 + -5x = 9 + 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 = 9 + 2x + -2x

Combine like terms: -5x + -2x = -7x
100 + -7x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
100 + -7x = 9 + 0
100 + -7x = 9

Add '-100' to each side of the equation.
100 + -100 + -7x = 9 + -100

Combine like terms: 100 + -100 = 0
0 + -7x = 9 + -100
-7x = 9 + -100

Combine like terms: 9 + -100 = -91
-7x = -91

Divide each side by '-7'.
x = 13

Simplifying
x = 13

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