5(90-7x)=x-120

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Solution for 5(90-7x)=x-120 equation:


Simplifying
5(90 + -7x) = x + -120
(90 * 5 + -7x * 5) = x + -120
(450 + -35x) = x + -120

Reorder the terms:
450 + -35x = -120 + x

Solving
450 + -35x = -120 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
450 + -35x + -1x = -120 + x + -1x

Combine like terms: -35x + -1x = -36x
450 + -36x = -120 + x + -1x

Combine like terms: x + -1x = 0
450 + -36x = -120 + 0
450 + -36x = -120

Add '-450' to each side of the equation.
450 + -450 + -36x = -120 + -450

Combine like terms: 450 + -450 = 0
0 + -36x = -120 + -450
-36x = -120 + -450

Combine like terms: -120 + -450 = -570
-36x = -570

Divide each side by '-36'.
x = 15.83333333

Simplifying
x = 15.83333333

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