(7x+15)+(4x+22)=180

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Solution for (7x+15)+(4x+22)=180 equation:


Simplifying
(7x + 15) + (4x + 22) = 180

Reorder the terms:
(15 + 7x) + (4x + 22) = 180

Remove parenthesis around (15 + 7x)
15 + 7x + (4x + 22) = 180

Reorder the terms:
15 + 7x + (22 + 4x) = 180

Remove parenthesis around (22 + 4x)
15 + 7x + 22 + 4x = 180

Reorder the terms:
15 + 22 + 7x + 4x = 180

Combine like terms: 15 + 22 = 37
37 + 7x + 4x = 180

Combine like terms: 7x + 4x = 11x
37 + 11x = 180

Solving
37 + 11x = 180

Solving for variable 'x'.

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

Add '-37' to each side of the equation.
37 + -37 + 11x = 180 + -37

Combine like terms: 37 + -37 = 0
0 + 11x = 180 + -37
11x = 180 + -37

Combine like terms: 180 + -37 = 143
11x = 143

Divide each side by '11'.
x = 13

Simplifying
x = 13

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