(3x+12)+(x-17)=180

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Solution for (3x+12)+(x-17)=180 equation:


Simplifying
(3x + 12) + (x + -17) = 180

Reorder the terms:
(12 + 3x) + (x + -17) = 180

Remove parenthesis around (12 + 3x)
12 + 3x + (x + -17) = 180

Reorder the terms:
12 + 3x + (-17 + x) = 180

Remove parenthesis around (-17 + x)
12 + 3x + -17 + x = 180

Reorder the terms:
12 + -17 + 3x + x = 180

Combine like terms: 12 + -17 = -5
-5 + 3x + x = 180

Combine like terms: 3x + x = 4x
-5 + 4x = 180

Solving
-5 + 4x = 180

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 4x = 180 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 180 + 5
4x = 180 + 5

Combine like terms: 180 + 5 = 185
4x = 185

Divide each side by '4'.
x = 46.25

Simplifying
x = 46.25

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