5(92-5x)=x-122

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Solution for 5(92-5x)=x-122 equation: 


Simplifying
5(92 + -5x) = x + -122
(92 * 5 + -5x * 5) = x + -122
(460 + -25x) = x + -122

Reorder the terms:
460 + -25x = -122 + x

Solving
460 + -25x = -122 + 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.
460 + -25x + -1x = -122 + x + -1x

Combine like terms: -25x + -1x = -26x
460 + -26x = -122 + x + -1x

Combine like terms: x + -1x = 0
460 + -26x = -122 + 0
460 + -26x = -122

Add '-460' to each side of the equation.
460 + -460 + -26x = -122 + -460

Combine like terms: 460 + -460 = 0
0 + -26x = -122 + -460
-26x = -122 + -460

Combine like terms: -122 + -460 = -582
-26x = -582

Divide each side by '-26'.
x = 22.38461538

Simplifying
x = 22.38461538

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