(5x+15)+(6x-10)=180

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Solution for (5x+15)+(6x-10)=180 equation:


Simplifying
(5x + 15) + (6x + -10) = 180

Reorder the terms:
(15 + 5x) + (6x + -10) = 180

Remove parenthesis around (15 + 5x)
15 + 5x + (6x + -10) = 180

Reorder the terms:
15 + 5x + (-10 + 6x) = 180

Remove parenthesis around (-10 + 6x)
15 + 5x + -10 + 6x = 180

Reorder the terms:
15 + -10 + 5x + 6x = 180

Combine like terms: 15 + -10 = 5
5 + 5x + 6x = 180

Combine like terms: 5x + 6x = 11x
5 + 11x = 180

Solving
5 + 11x = 180

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 11x = 180 + -5

Combine like terms: 5 + -5 = 0
0 + 11x = 180 + -5
11x = 180 + -5

Combine like terms: 180 + -5 = 175
11x = 175

Divide each side by '11'.
x = 15.90909091

Simplifying
x = 15.90909091

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