(2x+15)+(3x-20)+(x+7)+(x+15)=360

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Solution for (2x+15)+(3x-20)+(x+7)+(x+15)=360 equation:


Simplifying
(2x + 15) + (3x + -20) + (x + 7) + (x + 15) = 360

Reorder the terms:
(15 + 2x) + (3x + -20) + (x + 7) + (x + 15) = 360

Remove parenthesis around (15 + 2x)
15 + 2x + (3x + -20) + (x + 7) + (x + 15) = 360

Reorder the terms:
15 + 2x + (-20 + 3x) + (x + 7) + (x + 15) = 360

Remove parenthesis around (-20 + 3x)
15 + 2x + -20 + 3x + (x + 7) + (x + 15) = 360

Reorder the terms:
15 + 2x + -20 + 3x + (7 + x) + (x + 15) = 360

Remove parenthesis around (7 + x)
15 + 2x + -20 + 3x + 7 + x + (x + 15) = 360

Reorder the terms:
15 + 2x + -20 + 3x + 7 + x + (15 + x) = 360

Remove parenthesis around (15 + x)
15 + 2x + -20 + 3x + 7 + x + 15 + x = 360

Reorder the terms:
15 + -20 + 7 + 15 + 2x + 3x + x + x = 360

Combine like terms: 15 + -20 = -5
-5 + 7 + 15 + 2x + 3x + x + x = 360

Combine like terms: -5 + 7 = 2
2 + 15 + 2x + 3x + x + x = 360

Combine like terms: 2 + 15 = 17
17 + 2x + 3x + x + x = 360

Combine like terms: 2x + 3x = 5x
17 + 5x + x + x = 360

Combine like terms: 5x + x = 6x
17 + 6x + x = 360

Combine like terms: 6x + x = 7x
17 + 7x = 360

Solving
17 + 7x = 360

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 7x = 360 + -17

Combine like terms: 17 + -17 = 0
0 + 7x = 360 + -17
7x = 360 + -17

Combine like terms: 360 + -17 = 343
7x = 343

Divide each side by '7'.
x = 49

Simplifying
x = 49

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