(6x+1)+(5x+17)+x=180

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Solution for (6x+1)+(5x+17)+x=180 equation:


Simplifying
(6x + 1) + (5x + 17) + x = 180

Reorder the terms:
(1 + 6x) + (5x + 17) + x = 180

Remove parenthesis around (1 + 6x)
1 + 6x + (5x + 17) + x = 180

Reorder the terms:
1 + 6x + (17 + 5x) + x = 180

Remove parenthesis around (17 + 5x)
1 + 6x + 17 + 5x + x = 180

Reorder the terms:
1 + 17 + 6x + 5x + x = 180

Combine like terms: 1 + 17 = 18
18 + 6x + 5x + x = 180

Combine like terms: 6x + 5x = 11x
18 + 11x + x = 180

Combine like terms: 11x + x = 12x
18 + 12x = 180

Solving
18 + 12x = 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 + 12x = 180 + -18

Combine like terms: 18 + -18 = 0
0 + 12x = 180 + -18
12x = 180 + -18

Combine like terms: 180 + -18 = 162
12x = 162

Divide each side by '12'.
x = 13.5

Simplifying
x = 13.5

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