180=(71-2x)+(80-3x)

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Solution for 180=(71-2x)+(80-3x) equation:


Simplifying
180 = (71 + -2x) + (80 + -3x)

Remove parenthesis around (71 + -2x)
180 = 71 + -2x + (80 + -3x)

Remove parenthesis around (80 + -3x)
180 = 71 + -2x + 80 + -3x

Reorder the terms:
180 = 71 + 80 + -2x + -3x

Combine like terms: 71 + 80 = 151
180 = 151 + -2x + -3x

Combine like terms: -2x + -3x = -5x
180 = 151 + -5x

Solving
180 = 151 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
180 + 5x = 151 + -5x + 5x

Combine like terms: -5x + 5x = 0
180 + 5x = 151 + 0
180 + 5x = 151

Add '-180' to each side of the equation.
180 + -180 + 5x = 151 + -180

Combine like terms: 180 + -180 = 0
0 + 5x = 151 + -180
5x = 151 + -180

Combine like terms: 151 + -180 = -29
5x = -29

Divide each side by '5'.
x = -5.8

Simplifying
x = -5.8

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