(3x-24)+(2x+1)+x=180

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Solution for (3x-24)+(2x+1)+x=180 equation:


Simplifying
(3x + -24) + (2x + 1) + x = 180

Reorder the terms:
(-24 + 3x) + (2x + 1) + x = 180

Remove parenthesis around (-24 + 3x)
-24 + 3x + (2x + 1) + x = 180

Reorder the terms:
-24 + 3x + (1 + 2x) + x = 180

Remove parenthesis around (1 + 2x)
-24 + 3x + 1 + 2x + x = 180

Reorder the terms:
-24 + 1 + 3x + 2x + x = 180

Combine like terms: -24 + 1 = -23
-23 + 3x + 2x + x = 180

Combine like terms: 3x + 2x = 5x
-23 + 5x + x = 180

Combine like terms: 5x + x = 6x
-23 + 6x = 180

Solving
-23 + 6x = 180

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 6x = 180 + 23

Combine like terms: -23 + 23 = 0
0 + 6x = 180 + 23
6x = 180 + 23

Combine like terms: 180 + 23 = 203
6x = 203

Divide each side by '6'.
x = 33.83333333

Simplifying
x = 33.83333333

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