100-3x=10x+22

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Solution for 100-3x=10x+22 equation:


Simplifying
100 + -3x = 10x + 22

Reorder the terms:
100 + -3x = 22 + 10x

Solving
100 + -3x = 22 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
100 + -3x + -10x = 22 + 10x + -10x

Combine like terms: -3x + -10x = -13x
100 + -13x = 22 + 10x + -10x

Combine like terms: 10x + -10x = 0
100 + -13x = 22 + 0
100 + -13x = 22

Add '-100' to each side of the equation.
100 + -100 + -13x = 22 + -100

Combine like terms: 100 + -100 = 0
0 + -13x = 22 + -100
-13x = 22 + -100

Combine like terms: 22 + -100 = -78
-13x = -78

Divide each side by '-13'.
x = 6

Simplifying
x = 6

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