(5x-3)+(13x+4)+17=180

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Solution for (5x-3)+(13x+4)+17=180 equation:


Simplifying
(5x + -3) + (13x + 4) + 17 = 180

Reorder the terms:
(-3 + 5x) + (13x + 4) + 17 = 180

Remove parenthesis around (-3 + 5x)
-3 + 5x + (13x + 4) + 17 = 180

Reorder the terms:
-3 + 5x + (4 + 13x) + 17 = 180

Remove parenthesis around (4 + 13x)
-3 + 5x + 4 + 13x + 17 = 180

Reorder the terms:
-3 + 4 + 17 + 5x + 13x = 180

Combine like terms: -3 + 4 = 1
1 + 17 + 5x + 13x = 180

Combine like terms: 1 + 17 = 18
18 + 5x + 13x = 180

Combine like terms: 5x + 13x = 18x
18 + 18x = 180

Solving
18 + 18x = 180

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 18x = 180 + -18

Combine like terms: 18 + -18 = 0
0 + 18x = 180 + -18
18x = 180 + -18

Combine like terms: 180 + -18 = 162
18x = 162

Divide each side by '18'.
x = 9

Simplifying
x = 9

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