(x+9)+(3x+6)+(7x)=180

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Solution for (x+9)+(3x+6)+(7x)=180 equation:


Simplifying
(x + 9) + (3x + 6) + (7x) = 180

Reorder the terms:
(9 + x) + (3x + 6) + (7x) = 180

Remove parenthesis around (9 + x)
9 + x + (3x + 6) + (7x) = 180

Reorder the terms:
9 + x + (6 + 3x) + (7x) = 180

Remove parenthesis around (6 + 3x)
9 + x + 6 + 3x + (7x) = 180

Reorder the terms:
9 + 6 + x + 3x + (7x) = 180

Combine like terms: 9 + 6 = 15
15 + x + 3x + (7x) = 180

Combine like terms: x + 3x = 4x
15 + 4x + (7x) = 180

Combine like terms: 4x + (7x) = 11x
15 + 11x = 180

Solving
15 + 11x = 180

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 11x = 180 + -15

Combine like terms: 15 + -15 = 0
0 + 11x = 180 + -15
11x = 180 + -15

Combine like terms: 180 + -15 = 165
11x = 165

Divide each side by '11'.
x = 15

Simplifying
x = 15

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