(6x+11)+(5x-1)+(3x+2)=180

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Solution for (6x+11)+(5x-1)+(3x+2)=180 equation:


Simplifying
(6x + 11) + (5x + -1) + (3x + 2) = 180

Reorder the terms:
(11 + 6x) + (5x + -1) + (3x + 2) = 180

Remove parenthesis around (11 + 6x)
11 + 6x + (5x + -1) + (3x + 2) = 180

Reorder the terms:
11 + 6x + (-1 + 5x) + (3x + 2) = 180

Remove parenthesis around (-1 + 5x)
11 + 6x + -1 + 5x + (3x + 2) = 180

Reorder the terms:
11 + 6x + -1 + 5x + (2 + 3x) = 180

Remove parenthesis around (2 + 3x)
11 + 6x + -1 + 5x + 2 + 3x = 180

Reorder the terms:
11 + -1 + 2 + 6x + 5x + 3x = 180

Combine like terms: 11 + -1 = 10
10 + 2 + 6x + 5x + 3x = 180

Combine like terms: 10 + 2 = 12
12 + 6x + 5x + 3x = 180

Combine like terms: 6x + 5x = 11x
12 + 11x + 3x = 180

Combine like terms: 11x + 3x = 14x
12 + 14x = 180

Solving
12 + 14x = 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 + 14x = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 14x = 180 + -12
14x = 180 + -12

Combine like terms: 180 + -12 = 168
14x = 168

Divide each side by '14'.
x = 12

Simplifying
x = 12

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