(x+13)+(3x)+(6x+7)=180

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Solution for (x+13)+(3x)+(6x+7)=180 equation:


Simplifying
(x + 13) + (3x) + (6x + 7) = 180

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

Remove parenthesis around (13 + x)
13 + x + (3x) + (6x + 7) = 180

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

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

Reorder the terms:
13 + 7 + x + (3x) + 6x = 180

Combine like terms: 13 + 7 = 20
20 + x + (3x) + 6x = 180

Combine like terms: x + (3x) = 4x
20 + 4x + 6x = 180

Combine like terms: 4x + 6x = 10x
20 + 10x = 180

Solving
20 + 10x = 180

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 10x = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 10x = 180 + -20
10x = 180 + -20

Combine like terms: 180 + -20 = 160
10x = 160

Divide each side by '10'.
x = 16

Simplifying
x = 16

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