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

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


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

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

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

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

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

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

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

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

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

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

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

Combine like terms: 5x + 2x = 7x
5 + 7x = 180

Solving
5 + 7x = 180

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 7x = 180 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 180 + -5
7x = 180 + -5

Combine like terms: 180 + -5 = 175
7x = 175

Divide each side by '7'.
x = 25

Simplifying
x = 25

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