(3x-22)+(2x+12)=180

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Solution for (3x-22)+(2x+12)=180 equation:


Simplifying
(3x + -22) + (2x + 12) = 180

Reorder the terms:
(-22 + 3x) + (2x + 12) = 180

Remove parenthesis around (-22 + 3x)
-22 + 3x + (2x + 12) = 180

Reorder the terms:
-22 + 3x + (12 + 2x) = 180

Remove parenthesis around (12 + 2x)
-22 + 3x + 12 + 2x = 180

Reorder the terms:
-22 + 12 + 3x + 2x = 180

Combine like terms: -22 + 12 = -10
-10 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
-10 + 5x = 180

Solving
-10 + 5x = 180

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 5x = 180 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 180 + 10
5x = 180 + 10

Combine like terms: 180 + 10 = 190
5x = 190

Divide each side by '5'.
x = 38

Simplifying
x = 38

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