(17+4x)+(7+9x)=180

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Solution for (17+4x)+(7+9x)=180 equation:


Simplifying
(17 + 4x) + (7 + 9x) = 180

Remove parenthesis around (17 + 4x)
17 + 4x + (7 + 9x) = 180

Remove parenthesis around (7 + 9x)
17 + 4x + 7 + 9x = 180

Reorder the terms:
17 + 7 + 4x + 9x = 180

Combine like terms: 17 + 7 = 24
24 + 4x + 9x = 180

Combine like terms: 4x + 9x = 13x
24 + 13x = 180

Solving
24 + 13x = 180

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 13x = 180 + -24

Combine like terms: 24 + -24 = 0
0 + 13x = 180 + -24
13x = 180 + -24

Combine like terms: 180 + -24 = 156
13x = 156

Divide each side by '13'.
x = 12

Simplifying
x = 12

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