(2x-125)+(.5x+14)+(x-31)=180

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Solution for (2x-125)+(.5x+14)+(x-31)=180 equation:


Simplifying
(2x + -125) + (0.5x + 14) + (x + -31) = 180

Reorder the terms:
(-125 + 2x) + (0.5x + 14) + (x + -31) = 180

Remove parenthesis around (-125 + 2x)
-125 + 2x + (0.5x + 14) + (x + -31) = 180

Reorder the terms:
-125 + 2x + (14 + 0.5x) + (x + -31) = 180

Remove parenthesis around (14 + 0.5x)
-125 + 2x + 14 + 0.5x + (x + -31) = 180

Reorder the terms:
-125 + 2x + 14 + 0.5x + (-31 + x) = 180

Remove parenthesis around (-31 + x)
-125 + 2x + 14 + 0.5x + -31 + x = 180

Reorder the terms:
-125 + 14 + -31 + 2x + 0.5x + x = 180

Combine like terms: -125 + 14 = -111
-111 + -31 + 2x + 0.5x + x = 180

Combine like terms: -111 + -31 = -142
-142 + 2x + 0.5x + x = 180

Combine like terms: 2x + 0.5x = 2.5x
-142 + 2.5x + x = 180

Combine like terms: 2.5x + x = 3.5x
-142 + 3.5x = 180

Solving
-142 + 3.5x = 180

Solving for variable 'x'.

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

Add '142' to each side of the equation.
-142 + 142 + 3.5x = 180 + 142

Combine like terms: -142 + 142 = 0
0 + 3.5x = 180 + 142
3.5x = 180 + 142

Combine like terms: 180 + 142 = 322
3.5x = 322

Divide each side by '3.5'.
x = 92

Simplifying
x = 92

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