(42-x)+(9x-32)+x=180

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Solution for (42-x)+(9x-32)+x=180 equation:


Simplifying
(42 + -1x) + (9x + -32) + x = 180

Remove parenthesis around (42 + -1x)
42 + -1x + (9x + -32) + x = 180

Reorder the terms:
42 + -1x + (-32 + 9x) + x = 180

Remove parenthesis around (-32 + 9x)
42 + -1x + -32 + 9x + x = 180

Reorder the terms:
42 + -32 + -1x + 9x + x = 180

Combine like terms: 42 + -32 = 10
10 + -1x + 9x + x = 180

Combine like terms: -1x + 9x = 8x
10 + 8x + x = 180

Combine like terms: 8x + x = 9x
10 + 9x = 180

Solving
10 + 9x = 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 + 9x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 180 + -10
9x = 180 + -10

Combine like terms: 180 + -10 = 170
9x = 170

Divide each side by '9'.
x = 18.88888889

Simplifying
x = 18.88888889

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