(3x-2)+(x+8)+(2x+3)=180

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Solution for (3x-2)+(x+8)+(2x+3)=180 equation:


Simplifying
(3x + -2) + (x + 8) + (2x + 3) = 180

Reorder the terms:
(-2 + 3x) + (x + 8) + (2x + 3) = 180

Remove parenthesis around (-2 + 3x)
-2 + 3x + (x + 8) + (2x + 3) = 180

Reorder the terms:
-2 + 3x + (8 + x) + (2x + 3) = 180

Remove parenthesis around (8 + x)
-2 + 3x + 8 + x + (2x + 3) = 180

Reorder the terms:
-2 + 3x + 8 + x + (3 + 2x) = 180

Remove parenthesis around (3 + 2x)
-2 + 3x + 8 + x + 3 + 2x = 180

Reorder the terms:
-2 + 8 + 3 + 3x + x + 2x = 180

Combine like terms: -2 + 8 = 6
6 + 3 + 3x + x + 2x = 180

Combine like terms: 6 + 3 = 9
9 + 3x + x + 2x = 180

Combine like terms: 3x + x = 4x
9 + 4x + 2x = 180

Combine like terms: 4x + 2x = 6x
9 + 6x = 180

Solving
9 + 6x = 180

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 6x = 180 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = 180 + -9
6x = 180 + -9

Combine like terms: 180 + -9 = 171
6x = 171

Divide each side by '6'.
x = 28.5

Simplifying
x = 28.5

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