(3x-2)+(2x+5)+(x+3)=180

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Solution for (3x-2)+(2x+5)+(x+3)=180 equation:


Simplifying
(3x + -2) + (2x + 5) + (x + 3) = 180

Reorder the terms:
(-2 + 3x) + (2x + 5) + (x + 3) = 180

Remove parenthesis around (-2 + 3x)
-2 + 3x + (2x + 5) + (x + 3) = 180

Reorder the terms:
-2 + 3x + (5 + 2x) + (x + 3) = 180

Remove parenthesis around (5 + 2x)
-2 + 3x + 5 + 2x + (x + 3) = 180

Reorder the terms:
-2 + 3x + 5 + 2x + (3 + x) = 180

Remove parenthesis around (3 + x)
-2 + 3x + 5 + 2x + 3 + x = 180

Reorder the terms:
-2 + 5 + 3 + 3x + 2x + x = 180

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

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

Combine like terms: 3x + 2x = 5x
6 + 5x + x = 180

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

Solving
6 + 6x = 180

Solving for variable 'x'.

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

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

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

Combine like terms: 180 + -6 = 174
6x = 174

Divide each side by '6'.
x = 29

Simplifying
x = 29

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