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

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


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

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

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

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

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

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

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

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

Combine like terms: 3 + 5 = 8
8 + 2 + 2x + 3x + 5x = 180

Combine like terms: 8 + 2 = 10
10 + 2x + 3x + 5x = 180

Combine like terms: 2x + 3x = 5x
10 + 5x + 5x = 180

Combine like terms: 5x + 5x = 10x
10 + 10x = 180

Solving
10 + 10x = 180

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 10x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 10x = 180 + -10
10x = 180 + -10

Combine like terms: 180 + -10 = 170
10x = 170

Divide each side by '10'.
x = 17

Simplifying
x = 17

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