(5x-8)+(11x-9)=180

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Solution for (5x-8)+(11x-9)=180 equation:


Simplifying
(5x + -8) + (11x + -9) = 180

Reorder the terms:
(-8 + 5x) + (11x + -9) = 180

Remove parenthesis around (-8 + 5x)
-8 + 5x + (11x + -9) = 180

Reorder the terms:
-8 + 5x + (-9 + 11x) = 180

Remove parenthesis around (-9 + 11x)
-8 + 5x + -9 + 11x = 180

Reorder the terms:
-8 + -9 + 5x + 11x = 180

Combine like terms: -8 + -9 = -17
-17 + 5x + 11x = 180

Combine like terms: 5x + 11x = 16x
-17 + 16x = 180

Solving
-17 + 16x = 180

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 16x = 180 + 17

Combine like terms: -17 + 17 = 0
0 + 16x = 180 + 17
16x = 180 + 17

Combine like terms: 180 + 17 = 197
16x = 197

Divide each side by '16'.
x = 12.3125

Simplifying
x = 12.3125

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