(7x+22)+(9x-2)=180

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Solution for (7x+22)+(9x-2)=180 equation:


Simplifying
(7x + 22) + (9x + -2) = 180

Reorder the terms:
(22 + 7x) + (9x + -2) = 180

Remove parenthesis around (22 + 7x)
22 + 7x + (9x + -2) = 180

Reorder the terms:
22 + 7x + (-2 + 9x) = 180

Remove parenthesis around (-2 + 9x)
22 + 7x + -2 + 9x = 180

Reorder the terms:
22 + -2 + 7x + 9x = 180

Combine like terms: 22 + -2 = 20
20 + 7x + 9x = 180

Combine like terms: 7x + 9x = 16x
20 + 16x = 180

Solving
20 + 16x = 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 + 16x = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 16x = 180 + -20
16x = 180 + -20

Combine like terms: 180 + -20 = 160
16x = 160

Divide each side by '16'.
x = 10

Simplifying
x = 10

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