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

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


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

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

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

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

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

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

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

Combine like terms: 3x + x = 4x
10 + 4x = 180

Solving
10 + 4x = 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 + 4x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 180 + -10
4x = 180 + -10

Combine like terms: 180 + -10 = 170
4x = 170

Divide each side by '4'.
x = 42.5

Simplifying
x = 42.5

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