(3x+5)+(6x+13)=180

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Solution for (3x+5)+(6x+13)=180 equation:


Simplifying
(3x + 5) + (6x + 13) = 180

Reorder the terms:
(5 + 3x) + (6x + 13) = 180

Remove parenthesis around (5 + 3x)
5 + 3x + (6x + 13) = 180

Reorder the terms:
5 + 3x + (13 + 6x) = 180

Remove parenthesis around (13 + 6x)
5 + 3x + 13 + 6x = 180

Reorder the terms:
5 + 13 + 3x + 6x = 180

Combine like terms: 5 + 13 = 18
18 + 3x + 6x = 180

Combine like terms: 3x + 6x = 9x
18 + 9x = 180

Solving
18 + 9x = 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 + 9x = 180 + -18

Combine like terms: 18 + -18 = 0
0 + 9x = 180 + -18
9x = 180 + -18

Combine like terms: 180 + -18 = 162
9x = 162

Divide each side by '9'.
x = 18

Simplifying
x = 18

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