(12x-28)+(5x+38)=180

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Solution for (12x-28)+(5x+38)=180 equation:


Simplifying
(12x + -28) + (5x + 38) = 180

Reorder the terms:
(-28 + 12x) + (5x + 38) = 180

Remove parenthesis around (-28 + 12x)
-28 + 12x + (5x + 38) = 180

Reorder the terms:
-28 + 12x + (38 + 5x) = 180

Remove parenthesis around (38 + 5x)
-28 + 12x + 38 + 5x = 180

Reorder the terms:
-28 + 38 + 12x + 5x = 180

Combine like terms: -28 + 38 = 10
10 + 12x + 5x = 180

Combine like terms: 12x + 5x = 17x
10 + 17x = 180

Solving
10 + 17x = 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 + 17x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 17x = 180 + -10
17x = 180 + -10

Combine like terms: 180 + -10 = 170
17x = 170

Divide each side by '17'.
x = 10

Simplifying
x = 10

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