(3x-2)+(50-x)=180

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Solution for (3x-2)+(50-x)=180 equation:


Simplifying
(3x + -2) + (50 + -1x) = 180

Reorder the terms:
(-2 + 3x) + (50 + -1x) = 180

Remove parenthesis around (-2 + 3x)
-2 + 3x + (50 + -1x) = 180

Remove parenthesis around (50 + -1x)
-2 + 3x + 50 + -1x = 180

Reorder the terms:
-2 + 50 + 3x + -1x = 180

Combine like terms: -2 + 50 = 48
48 + 3x + -1x = 180

Combine like terms: 3x + -1x = 2x
48 + 2x = 180

Solving
48 + 2x = 180

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + 2x = 180 + -48

Combine like terms: 48 + -48 = 0
0 + 2x = 180 + -48
2x = 180 + -48

Combine like terms: 180 + -48 = 132
2x = 132

Divide each side by '2'.
x = 66

Simplifying
x = 66

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