(3x-2)+(x+6)=180

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Solution for (3x-2)+(x+6)=180 equation:


Simplifying
(3x + -2) + (x + 6) = 180

Reorder the terms:
(-2 + 3x) + (x + 6) = 180

Remove parenthesis around (-2 + 3x)
-2 + 3x + (x + 6) = 180

Reorder the terms:
-2 + 3x + (6 + x) = 180

Remove parenthesis around (6 + x)
-2 + 3x + 6 + x = 180

Reorder the terms:
-2 + 6 + 3x + x = 180

Combine like terms: -2 + 6 = 4
4 + 3x + x = 180

Combine like terms: 3x + x = 4x
4 + 4x = 180

Solving
4 + 4x = 180

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 4x = 180 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 180 + -4
4x = 180 + -4

Combine like terms: 180 + -4 = 176
4x = 176

Divide each side by '4'.
x = 44

Simplifying
x = 44

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