(6x+27)+(7x+11)+(11x+7)=180

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Solution for (6x+27)+(7x+11)+(11x+7)=180 equation:


Simplifying
(6x + 27) + (7x + 11) + (11x + 7) = 180

Reorder the terms:
(27 + 6x) + (7x + 11) + (11x + 7) = 180

Remove parenthesis around (27 + 6x)
27 + 6x + (7x + 11) + (11x + 7) = 180

Reorder the terms:
27 + 6x + (11 + 7x) + (11x + 7) = 180

Remove parenthesis around (11 + 7x)
27 + 6x + 11 + 7x + (11x + 7) = 180

Reorder the terms:
27 + 6x + 11 + 7x + (7 + 11x) = 180

Remove parenthesis around (7 + 11x)
27 + 6x + 11 + 7x + 7 + 11x = 180

Reorder the terms:
27 + 11 + 7 + 6x + 7x + 11x = 180

Combine like terms: 27 + 11 = 38
38 + 7 + 6x + 7x + 11x = 180

Combine like terms: 38 + 7 = 45
45 + 6x + 7x + 11x = 180

Combine like terms: 6x + 7x = 13x
45 + 13x + 11x = 180

Combine like terms: 13x + 11x = 24x
45 + 24x = 180

Solving
45 + 24x = 180

Solving for variable 'x'.

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

Add '-45' to each side of the equation.
45 + -45 + 24x = 180 + -45

Combine like terms: 45 + -45 = 0
0 + 24x = 180 + -45
24x = 180 + -45

Combine like terms: 180 + -45 = 135
24x = 135

Divide each side by '24'.
x = 5.625

Simplifying
x = 5.625

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