(2x-121)+(x-29)+(.5x+15)=180

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Solution for (2x-121)+(x-29)+(.5x+15)=180 equation:


Simplifying
(2x + -121) + (x + -29) + (0.5x + 15) = 180

Reorder the terms:
(-121 + 2x) + (x + -29) + (0.5x + 15) = 180

Remove parenthesis around (-121 + 2x)
-121 + 2x + (x + -29) + (0.5x + 15) = 180

Reorder the terms:
-121 + 2x + (-29 + x) + (0.5x + 15) = 180

Remove parenthesis around (-29 + x)
-121 + 2x + -29 + x + (0.5x + 15) = 180

Reorder the terms:
-121 + 2x + -29 + x + (15 + 0.5x) = 180

Remove parenthesis around (15 + 0.5x)
-121 + 2x + -29 + x + 15 + 0.5x = 180

Reorder the terms:
-121 + -29 + 15 + 2x + x + 0.5x = 180

Combine like terms: -121 + -29 = -150
-150 + 15 + 2x + x + 0.5x = 180

Combine like terms: -150 + 15 = -135
-135 + 2x + x + 0.5x = 180

Combine like terms: 2x + x = 3x
-135 + 3x + 0.5x = 180

Combine like terms: 3x + 0.5x = 3.5x
-135 + 3.5x = 180

Solving
-135 + 3.5x = 180

Solving for variable 'x'.

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

Add '135' to each side of the equation.
-135 + 135 + 3.5x = 180 + 135

Combine like terms: -135 + 135 = 0
0 + 3.5x = 180 + 135
3.5x = 180 + 135

Combine like terms: 180 + 135 = 315
3.5x = 315

Divide each side by '3.5'.
x = 90

Simplifying
x = 90

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