(2x+15)+(3x-20)+(x+15)=360

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Solution for (2x+15)+(3x-20)+(x+15)=360 equation:


Simplifying
(2x + 15) + (3x + -20) + (x + 15) = 360

Reorder the terms:
(15 + 2x) + (3x + -20) + (x + 15) = 360

Remove parenthesis around (15 + 2x)
15 + 2x + (3x + -20) + (x + 15) = 360

Reorder the terms:
15 + 2x + (-20 + 3x) + (x + 15) = 360

Remove parenthesis around (-20 + 3x)
15 + 2x + -20 + 3x + (x + 15) = 360

Reorder the terms:
15 + 2x + -20 + 3x + (15 + x) = 360

Remove parenthesis around (15 + x)
15 + 2x + -20 + 3x + 15 + x = 360

Reorder the terms:
15 + -20 + 15 + 2x + 3x + x = 360

Combine like terms: 15 + -20 = -5
-5 + 15 + 2x + 3x + x = 360

Combine like terms: -5 + 15 = 10
10 + 2x + 3x + x = 360

Combine like terms: 2x + 3x = 5x
10 + 5x + x = 360

Combine like terms: 5x + x = 6x
10 + 6x = 360

Solving
10 + 6x = 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 + 6x = 360 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 360 + -10
6x = 360 + -10

Combine like terms: 360 + -10 = 350
6x = 350

Divide each side by '6'.
x = 58.33333333

Simplifying
x = 58.33333333

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