(2x-5)+(3x+5)+(x+10)=180

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Solution for (2x-5)+(3x+5)+(x+10)=180 equation:


Simplifying
(2x + -5) + (3x + 5) + (x + 10) = 180

Reorder the terms:
(-5 + 2x) + (3x + 5) + (x + 10) = 180

Remove parenthesis around (-5 + 2x)
-5 + 2x + (3x + 5) + (x + 10) = 180

Reorder the terms:
-5 + 2x + (5 + 3x) + (x + 10) = 180

Remove parenthesis around (5 + 3x)
-5 + 2x + 5 + 3x + (x + 10) = 180

Reorder the terms:
-5 + 2x + 5 + 3x + (10 + x) = 180

Remove parenthesis around (10 + x)
-5 + 2x + 5 + 3x + 10 + x = 180

Reorder the terms:
-5 + 5 + 10 + 2x + 3x + x = 180

Combine like terms: -5 + 5 = 0
0 + 10 + 2x + 3x + x = 180
10 + 2x + 3x + x = 180

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

Combine like terms: 5x + x = 6x
10 + 6x = 180

Solving
10 + 6x = 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 + 6x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 180 + -10
6x = 180 + -10

Combine like terms: 180 + -10 = 170
6x = 170

Divide each side by '6'.
x = 28.33333333

Simplifying
x = 28.33333333

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