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

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


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

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

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

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

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

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

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

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

Combine like terms: -5 + -10 = -15
-15 + -5 + 2x + 3x + x = 180

Combine like terms: -15 + -5 = -20
-20 + 2x + 3x + x = 180

Combine like terms: 2x + 3x = 5x
-20 + 5x + x = 180

Combine like terms: 5x + x = 6x
-20 + 6x = 180

Solving
-20 + 6x = 180

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 6x = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = 180 + 20
6x = 180 + 20

Combine like terms: 180 + 20 = 200
6x = 200

Divide each side by '6'.
x = 33.33333333

Simplifying
x = 33.33333333

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