(5x+21)+(12x+6)=180

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Solution for (5x+21)+(12x+6)=180 equation:


Simplifying
(5x + 21) + (12x + 6) = 180

Reorder the terms:
(21 + 5x) + (12x + 6) = 180

Remove parenthesis around (21 + 5x)
21 + 5x + (12x + 6) = 180

Reorder the terms:
21 + 5x + (6 + 12x) = 180

Remove parenthesis around (6 + 12x)
21 + 5x + 6 + 12x = 180

Reorder the terms:
21 + 6 + 5x + 12x = 180

Combine like terms: 21 + 6 = 27
27 + 5x + 12x = 180

Combine like terms: 5x + 12x = 17x
27 + 17x = 180

Solving
27 + 17x = 180

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 17x = 180 + -27

Combine like terms: 27 + -27 = 0
0 + 17x = 180 + -27
17x = 180 + -27

Combine like terms: 180 + -27 = 153
17x = 153

Divide each side by '17'.
x = 9

Simplifying
x = 9

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