(77-2x)+(89-3x)=180

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Solution for (77-2x)+(89-3x)=180 equation: 


Simplifying
(77 + -2x) + (89 + -3x) = 180

Remove parenthesis around (77 + -2x)
77 + -2x + (89 + -3x) = 180

Remove parenthesis around (89 + -3x)
77 + -2x + 89 + -3x = 180

Reorder the terms:
77 + 89 + -2x + -3x = 180

Combine like terms: 77 + 89 = 166
166 + -2x + -3x = 180

Combine like terms: -2x + -3x = -5x
166 + -5x = 180

Solving
166 + -5x = 180

Solving for variable 'x'.

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

Add '-166' to each side of the equation.
166 + -166 + -5x = 180 + -166

Combine like terms: 166 + -166 = 0
0 + -5x = 180 + -166
-5x = 180 + -166

Combine like terms: 180 + -166 = 14
-5x = 14

Divide each side by '-5'.
x = -2.8

Simplifying
x = -2.8

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