(8.5x+20)+(22.5x+58)+140=180

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Solution for (8.5x+20)+(22.5x+58)+140=180 equation:


Simplifying
(8.5x + 20) + (22.5x + 58) + 140 = 180

Reorder the terms:
(20 + 8.5x) + (22.5x + 58) + 140 = 180

Remove parenthesis around (20 + 8.5x)
20 + 8.5x + (22.5x + 58) + 140 = 180

Reorder the terms:
20 + 8.5x + (58 + 22.5x) + 140 = 180

Remove parenthesis around (58 + 22.5x)
20 + 8.5x + 58 + 22.5x + 140 = 180

Reorder the terms:
20 + 58 + 140 + 8.5x + 22.5x = 180

Combine like terms: 20 + 58 = 78
78 + 140 + 8.5x + 22.5x = 180

Combine like terms: 78 + 140 = 218
218 + 8.5x + 22.5x = 180

Combine like terms: 8.5x + 22.5x = 31x
218 + 31x = 180

Solving
218 + 31x = 180

Solving for variable 'x'.

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

Add '-218' to each side of the equation.
218 + -218 + 31x = 180 + -218

Combine like terms: 218 + -218 = 0
0 + 31x = 180 + -218
31x = 180 + -218

Combine like terms: 180 + -218 = -38
31x = -38

Divide each side by '31'.
x = -1.225806452

Simplifying
x = -1.225806452

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