(8x+5)+(4x-5)+(11x+10)=180

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Solution for (8x+5)+(4x-5)+(11x+10)=180 equation:


Simplifying
(8x + 5) + (4x + -5) + (11x + 10) = 180

Reorder the terms:
(5 + 8x) + (4x + -5) + (11x + 10) = 180

Remove parenthesis around (5 + 8x)
5 + 8x + (4x + -5) + (11x + 10) = 180

Reorder the terms:
5 + 8x + (-5 + 4x) + (11x + 10) = 180

Remove parenthesis around (-5 + 4x)
5 + 8x + -5 + 4x + (11x + 10) = 180

Reorder the terms:
5 + 8x + -5 + 4x + (10 + 11x) = 180

Remove parenthesis around (10 + 11x)
5 + 8x + -5 + 4x + 10 + 11x = 180

Reorder the terms:
5 + -5 + 10 + 8x + 4x + 11x = 180

Combine like terms: 5 + -5 = 0
0 + 10 + 8x + 4x + 11x = 180
10 + 8x + 4x + 11x = 180

Combine like terms: 8x + 4x = 12x
10 + 12x + 11x = 180

Combine like terms: 12x + 11x = 23x
10 + 23x = 180

Solving
10 + 23x = 180

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 23x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 23x = 180 + -10
23x = 180 + -10

Combine like terms: 180 + -10 = 170
23x = 170

Divide each side by '23'.
x = 7.391304348

Simplifying
x = 7.391304348

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