(13x-16)+(7x+12)+(6x)=180

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Solution for (13x-16)+(7x+12)+(6x)=180 equation:


Simplifying
(13x + -16) + (7x + 12) + (6x) = 180

Reorder the terms:
(-16 + 13x) + (7x + 12) + (6x) = 180

Remove parenthesis around (-16 + 13x)
-16 + 13x + (7x + 12) + (6x) = 180

Reorder the terms:
-16 + 13x + (12 + 7x) + (6x) = 180

Remove parenthesis around (12 + 7x)
-16 + 13x + 12 + 7x + (6x) = 180

Reorder the terms:
-16 + 12 + 13x + 7x + (6x) = 180

Combine like terms: -16 + 12 = -4
-4 + 13x + 7x + (6x) = 180

Combine like terms: 13x + 7x = 20x
-4 + 20x + (6x) = 180

Combine like terms: 20x + (6x) = 26x
-4 + 26x = 180

Solving
-4 + 26x = 180

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 26x = 180 + 4

Combine like terms: -4 + 4 = 0
0 + 26x = 180 + 4
26x = 180 + 4

Combine like terms: 180 + 4 = 184
26x = 184

Divide each side by '26'.
x = 7.076923077

Simplifying
x = 7.076923077

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