(3x+6)+(x+7)+(2x)+(2x-3)+(2x+10)=360

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Solution for (3x+6)+(x+7)+(2x)+(2x-3)+(2x+10)=360 equation:


Simplifying
(3x + 6) + (x + 7) + (2x) + (2x + -3) + (2x + 10) = 360

Reorder the terms:
(6 + 3x) + (x + 7) + (2x) + (2x + -3) + (2x + 10) = 360

Remove parenthesis around (6 + 3x)
6 + 3x + (x + 7) + (2x) + (2x + -3) + (2x + 10) = 360

Reorder the terms:
6 + 3x + (7 + x) + (2x) + (2x + -3) + (2x + 10) = 360

Remove parenthesis around (7 + x)
6 + 3x + 7 + x + (2x) + (2x + -3) + (2x + 10) = 360

Reorder the terms:
6 + 3x + 7 + x + (2x) + (-3 + 2x) + (2x + 10) = 360

Remove parenthesis around (-3 + 2x)
6 + 3x + 7 + x + (2x) + -3 + 2x + (2x + 10) = 360

Reorder the terms:
6 + 3x + 7 + x + (2x) + -3 + 2x + (10 + 2x) = 360

Remove parenthesis around (10 + 2x)
6 + 3x + 7 + x + (2x) + -3 + 2x + 10 + 2x = 360

Reorder the terms:
6 + 7 + -3 + 10 + 3x + x + (2x) + 2x + 2x = 360

Combine like terms: 6 + 7 = 13
13 + -3 + 10 + 3x + x + (2x) + 2x + 2x = 360

Combine like terms: 13 + -3 = 10
10 + 10 + 3x + x + (2x) + 2x + 2x = 360

Combine like terms: 10 + 10 = 20
20 + 3x + x + (2x) + 2x + 2x = 360

Combine like terms: 3x + x = 4x
20 + 4x + (2x) + 2x + 2x = 360

Combine like terms: 4x + (2x) = 6x
20 + 6x + 2x + 2x = 360

Combine like terms: 6x + 2x = 8x
20 + 8x + 2x = 360

Combine like terms: 8x + 2x = 10x
20 + 10x = 360

Solving
20 + 10x = 360

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 + 10x = 360 + -20

Combine like terms: 20 + -20 = 0
0 + 10x = 360 + -20
10x = 360 + -20

Combine like terms: 360 + -20 = 340
10x = 340

Divide each side by '10'.
x = 34

Simplifying
x = 34

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