(3x-4)+2x+(20-x)=180

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Solution for (3x-4)+2x+(20-x)=180 equation:


Simplifying
(3x + -4) + 2x + (20 + -1x) = 180

Reorder the terms:
(-4 + 3x) + 2x + (20 + -1x) = 180

Remove parenthesis around (-4 + 3x)
-4 + 3x + 2x + (20 + -1x) = 180

Remove parenthesis around (20 + -1x)
-4 + 3x + 2x + 20 + -1x = 180

Reorder the terms:
-4 + 20 + 3x + 2x + -1x = 180

Combine like terms: -4 + 20 = 16
16 + 3x + 2x + -1x = 180

Combine like terms: 3x + 2x = 5x
16 + 5x + -1x = 180

Combine like terms: 5x + -1x = 4x
16 + 4x = 180

Solving
16 + 4x = 180

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 4x = 180 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 180 + -16
4x = 180 + -16

Combine like terms: 180 + -16 = 164
4x = 164

Divide each side by '4'.
x = 41

Simplifying
x = 41

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