(2x+17)+(7x-13)=180

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Solution for (2x+17)+(7x-13)=180 equation:


Simplifying
(2x + 17) + (7x + -13) = 180

Reorder the terms:
(17 + 2x) + (7x + -13) = 180

Remove parenthesis around (17 + 2x)
17 + 2x + (7x + -13) = 180

Reorder the terms:
17 + 2x + (-13 + 7x) = 180

Remove parenthesis around (-13 + 7x)
17 + 2x + -13 + 7x = 180

Reorder the terms:
17 + -13 + 2x + 7x = 180

Combine like terms: 17 + -13 = 4
4 + 2x + 7x = 180

Combine like terms: 2x + 7x = 9x
4 + 9x = 180

Solving
4 + 9x = 180

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 9x = 180 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 180 + -4
9x = 180 + -4

Combine like terms: 180 + -4 = 176
9x = 176

Divide each side by '9'.
x = 19.55555556

Simplifying
x = 19.55555556

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