180=10(x-75)+100

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Solution for 180=10(x-75)+100 equation: 


Simplifying
180 = 10(x + -75) + 100

Reorder the terms:
180 = 10(-75 + x) + 100
180 = (-75 * 10 + x * 10) + 100
180 = (-750 + 10x) + 100

Reorder the terms:
180 = -750 + 100 + 10x

Combine like terms: -750 + 100 = -650
180 = -650 + 10x

Solving
180 = -650 + 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.
180 + -10x = -650 + 10x + -10x

Combine like terms: 10x + -10x = 0
180 + -10x = -650 + 0
180 + -10x = -650

Add '-180' to each side of the equation.
180 + -180 + -10x = -650 + -180

Combine like terms: 180 + -180 = 0
0 + -10x = -650 + -180
-10x = -650 + -180

Combine like terms: -650 + -180 = -830
-10x = -830

Divide each side by '-10'.
x = 83

Simplifying
x = 83

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