(2x+3)+(x+6)+(x-15)+2x=360

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Solution for (2x+3)+(x+6)+(x-15)+2x=360 equation:


Simplifying
(2x + 3) + (x + 6) + (x + -15) + 2x = 360

Reorder the terms:
(3 + 2x) + (x + 6) + (x + -15) + 2x = 360

Remove parenthesis around (3 + 2x)
3 + 2x + (x + 6) + (x + -15) + 2x = 360

Reorder the terms:
3 + 2x + (6 + x) + (x + -15) + 2x = 360

Remove parenthesis around (6 + x)
3 + 2x + 6 + x + (x + -15) + 2x = 360

Reorder the terms:
3 + 2x + 6 + x + (-15 + x) + 2x = 360

Remove parenthesis around (-15 + x)
3 + 2x + 6 + x + -15 + x + 2x = 360

Reorder the terms:
3 + 6 + -15 + 2x + x + x + 2x = 360

Combine like terms: 3 + 6 = 9
9 + -15 + 2x + x + x + 2x = 360

Combine like terms: 9 + -15 = -6
-6 + 2x + x + x + 2x = 360

Combine like terms: 2x + x = 3x
-6 + 3x + x + 2x = 360

Combine like terms: 3x + x = 4x
-6 + 4x + 2x = 360

Combine like terms: 4x + 2x = 6x
-6 + 6x = 360

Solving
-6 + 6x = 360

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 6x = 360 + 6

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

Combine like terms: 360 + 6 = 366
6x = 366

Divide each side by '6'.
x = 61

Simplifying
x = 61

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