(7x+4)+(8x-6)+(7x-5)+(6x+3)=360

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Solution for (7x+4)+(8x-6)+(7x-5)+(6x+3)=360 equation: 


Simplifying
(7x + 4) + (8x + -6) + (7x + -5) + (6x + 3) = 360

Reorder the terms:
(4 + 7x) + (8x + -6) + (7x + -5) + (6x + 3) = 360

Remove parenthesis around (4 + 7x)
4 + 7x + (8x + -6) + (7x + -5) + (6x + 3) = 360

Reorder the terms:
4 + 7x + (-6 + 8x) + (7x + -5) + (6x + 3) = 360

Remove parenthesis around (-6 + 8x)
4 + 7x + -6 + 8x + (7x + -5) + (6x + 3) = 360

Reorder the terms:
4 + 7x + -6 + 8x + (-5 + 7x) + (6x + 3) = 360

Remove parenthesis around (-5 + 7x)
4 + 7x + -6 + 8x + -5 + 7x + (6x + 3) = 360

Reorder the terms:
4 + 7x + -6 + 8x + -5 + 7x + (3 + 6x) = 360

Remove parenthesis around (3 + 6x)
4 + 7x + -6 + 8x + -5 + 7x + 3 + 6x = 360

Reorder the terms:
4 + -6 + -5 + 3 + 7x + 8x + 7x + 6x = 360

Combine like terms: 4 + -6 = -2
-2 + -5 + 3 + 7x + 8x + 7x + 6x = 360

Combine like terms: -2 + -5 = -7
-7 + 3 + 7x + 8x + 7x + 6x = 360

Combine like terms: -7 + 3 = -4
-4 + 7x + 8x + 7x + 6x = 360

Combine like terms: 7x + 8x = 15x
-4 + 15x + 7x + 6x = 360

Combine like terms: 15x + 7x = 22x
-4 + 22x + 6x = 360

Combine like terms: 22x + 6x = 28x
-4 + 28x = 360

Solving
-4 + 28x = 360

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 28x = 360 + 4

Combine like terms: -4 + 4 = 0
0 + 28x = 360 + 4
28x = 360 + 4

Combine like terms: 360 + 4 = 364
28x = 364

Divide each side by '28'.
x = 13

Simplifying
x = 13

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