(2x-3)+(8x-2)+(2x-5)=360

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Solution for (2x-3)+(8x-2)+(2x-5)=360 equation:


Simplifying
(2x + -3) + (8x + -2) + (2x + -5) = 360

Reorder the terms:
(-3 + 2x) + (8x + -2) + (2x + -5) = 360

Remove parenthesis around (-3 + 2x)
-3 + 2x + (8x + -2) + (2x + -5) = 360

Reorder the terms:
-3 + 2x + (-2 + 8x) + (2x + -5) = 360

Remove parenthesis around (-2 + 8x)
-3 + 2x + -2 + 8x + (2x + -5) = 360

Reorder the terms:
-3 + 2x + -2 + 8x + (-5 + 2x) = 360

Remove parenthesis around (-5 + 2x)
-3 + 2x + -2 + 8x + -5 + 2x = 360

Reorder the terms:
-3 + -2 + -5 + 2x + 8x + 2x = 360

Combine like terms: -3 + -2 = -5
-5 + -5 + 2x + 8x + 2x = 360

Combine like terms: -5 + -5 = -10
-10 + 2x + 8x + 2x = 360

Combine like terms: 2x + 8x = 10x
-10 + 10x + 2x = 360

Combine like terms: 10x + 2x = 12x
-10 + 12x = 360

Solving
-10 + 12x = 360

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 + 12x = 360 + 10

Combine like terms: -10 + 10 = 0
0 + 12x = 360 + 10
12x = 360 + 10

Combine like terms: 360 + 10 = 370
12x = 370

Divide each side by '12'.
x = 30.83333333

Simplifying
x = 30.83333333

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