(3x+5)+(9x-17)=180

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Solution for (3x+5)+(9x-17)=180 equation:


Simplifying
(3x + 5) + (9x + -17) = 180

Reorder the terms:
(5 + 3x) + (9x + -17) = 180

Remove parenthesis around (5 + 3x)
5 + 3x + (9x + -17) = 180

Reorder the terms:
5 + 3x + (-17 + 9x) = 180

Remove parenthesis around (-17 + 9x)
5 + 3x + -17 + 9x = 180

Reorder the terms:
5 + -17 + 3x + 9x = 180

Combine like terms: 5 + -17 = -12
-12 + 3x + 9x = 180

Combine like terms: 3x + 9x = 12x
-12 + 12x = 180

Solving
-12 + 12x = 180

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 12x = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 12x = 180 + 12
12x = 180 + 12

Combine like terms: 180 + 12 = 192
12x = 192

Divide each side by '12'.
x = 16

Simplifying
x = 16

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