27(.5)+x+100(.1)+x(.25)=180

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Solution for 27(.5)+x+100(.1)+x(.25)=180 equation: 


Simplifying
27(0.5) + x + 100(0.1) + x(0.25) = 180

Multiply 27 * 0.5
13.5 + x + 100(0.1) + x(0.25) = 180

Multiply 100 * 0.1
13.5 + x + 10 + x(0.25) = 180

Reorder the terms for easier multiplication:
13.5 + x + 10 + 0.25x = 180

Reorder the terms:
13.5 + 10 + x + 0.25x = 180

Combine like terms: 13.5 + 10 = 23.5
23.5 + x + 0.25x = 180

Combine like terms: x + 0.25x = 1.25x
23.5 + 1.25x = 180

Solving
23.5 + 1.25x = 180

Solving for variable 'x'.

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

Add '-23.5' to each side of the equation.
23.5 + -23.5 + 1.25x = 180 + -23.5

Combine like terms: 23.5 + -23.5 = 0.0
0.0 + 1.25x = 180 + -23.5
1.25x = 180 + -23.5

Combine like terms: 180 + -23.5 = 156.5
1.25x = 156.5

Divide each side by '1.25'.
x = 125.2

Simplifying
x = 125.2

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