.25(x-10)+90=180-x

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Solution for .25(x-10)+90=180-x equation: 


Simplifying
0.25(x + -10) + 90 = 180 + -1x

Reorder the terms:
0.25(-10 + x) + 90 = 180 + -1x
(-10 * 0.25 + x * 0.25) + 90 = 180 + -1x
(-2.5 + 0.25x) + 90 = 180 + -1x

Reorder the terms:
-2.5 + 90 + 0.25x = 180 + -1x

Combine like terms: -2.5 + 90 = 87.5
87.5 + 0.25x = 180 + -1x

Solving
87.5 + 0.25x = 180 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
87.5 + 0.25x + x = 180 + -1x + x

Combine like terms: 0.25x + x = 1.25x
87.5 + 1.25x = 180 + -1x + x

Combine like terms: -1x + x = 0
87.5 + 1.25x = 180 + 0
87.5 + 1.25x = 180

Add '-87.5' to each side of the equation.
87.5 + -87.5 + 1.25x = 180 + -87.5

Combine like terms: 87.5 + -87.5 = 0.0
0.0 + 1.25x = 180 + -87.5
1.25x = 180 + -87.5

Combine like terms: 180 + -87.5 = 92.5
1.25x = 92.5

Divide each side by '1.25'.
x = 74

Simplifying
x = 74

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