(x+15)+(5x-7)+(3x+5)=180

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Solution for (x+15)+(5x-7)+(3x+5)=180 equation:


Simplifying
(x + 15) + (5x + -7) + (3x + 5) = 180

Reorder the terms:
(15 + x) + (5x + -7) + (3x + 5) = 180

Remove parenthesis around (15 + x)
15 + x + (5x + -7) + (3x + 5) = 180

Reorder the terms:
15 + x + (-7 + 5x) + (3x + 5) = 180

Remove parenthesis around (-7 + 5x)
15 + x + -7 + 5x + (3x + 5) = 180

Reorder the terms:
15 + x + -7 + 5x + (5 + 3x) = 180

Remove parenthesis around (5 + 3x)
15 + x + -7 + 5x + 5 + 3x = 180

Reorder the terms:
15 + -7 + 5 + x + 5x + 3x = 180

Combine like terms: 15 + -7 = 8
8 + 5 + x + 5x + 3x = 180

Combine like terms: 8 + 5 = 13
13 + x + 5x + 3x = 180

Combine like terms: x + 5x = 6x
13 + 6x + 3x = 180

Combine like terms: 6x + 3x = 9x
13 + 9x = 180

Solving
13 + 9x = 180

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 9x = 180 + -13

Combine like terms: 13 + -13 = 0
0 + 9x = 180 + -13
9x = 180 + -13

Combine like terms: 180 + -13 = 167
9x = 167

Divide each side by '9'.
x = 18.55555556

Simplifying
x = 18.55555556

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