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

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


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

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

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

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

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

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

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

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

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

Combine like terms: -5 + -1 = -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 = 186
6x = 186

Divide each side by '6'.
x = 31

Simplifying
x = 31

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