(5x+10)+(18x+9)=180

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Solution for (5x+10)+(18x+9)=180 equation:


Simplifying
(5x + 10) + (18x + 9) = 180

Reorder the terms:
(10 + 5x) + (18x + 9) = 180

Remove parenthesis around (10 + 5x)
10 + 5x + (18x + 9) = 180

Reorder the terms:
10 + 5x + (9 + 18x) = 180

Remove parenthesis around (9 + 18x)
10 + 5x + 9 + 18x = 180

Reorder the terms:
10 + 9 + 5x + 18x = 180

Combine like terms: 10 + 9 = 19
19 + 5x + 18x = 180

Combine like terms: 5x + 18x = 23x
19 + 23x = 180

Solving
19 + 23x = 180

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 23x = 180 + -19

Combine like terms: 19 + -19 = 0
0 + 23x = 180 + -19
23x = 180 + -19

Combine like terms: 180 + -19 = 161
23x = 161

Divide each side by '23'.
x = 7

Simplifying
x = 7

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