(13x+2)+(5x+24)+(7x+7)+(8x-3)=360

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Solution for (13x+2)+(5x+24)+(7x+7)+(8x-3)=360 equation: 


Simplifying
(13x + 2) + (5x + 24) + (7x + 7) + (8x + -3) = 360

Reorder the terms:
(2 + 13x) + (5x + 24) + (7x + 7) + (8x + -3) = 360

Remove parenthesis around (2 + 13x)
2 + 13x + (5x + 24) + (7x + 7) + (8x + -3) = 360

Reorder the terms:
2 + 13x + (24 + 5x) + (7x + 7) + (8x + -3) = 360

Remove parenthesis around (24 + 5x)
2 + 13x + 24 + 5x + (7x + 7) + (8x + -3) = 360

Reorder the terms:
2 + 13x + 24 + 5x + (7 + 7x) + (8x + -3) = 360

Remove parenthesis around (7 + 7x)
2 + 13x + 24 + 5x + 7 + 7x + (8x + -3) = 360

Reorder the terms:
2 + 13x + 24 + 5x + 7 + 7x + (-3 + 8x) = 360

Remove parenthesis around (-3 + 8x)
2 + 13x + 24 + 5x + 7 + 7x + -3 + 8x = 360

Reorder the terms:
2 + 24 + 7 + -3 + 13x + 5x + 7x + 8x = 360

Combine like terms: 2 + 24 = 26
26 + 7 + -3 + 13x + 5x + 7x + 8x = 360

Combine like terms: 26 + 7 = 33
33 + -3 + 13x + 5x + 7x + 8x = 360

Combine like terms: 33 + -3 = 30
30 + 13x + 5x + 7x + 8x = 360

Combine like terms: 13x + 5x = 18x
30 + 18x + 7x + 8x = 360

Combine like terms: 18x + 7x = 25x
30 + 25x + 8x = 360

Combine like terms: 25x + 8x = 33x
30 + 33x = 360

Solving
30 + 33x = 360

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 33x = 360 + -30

Combine like terms: 30 + -30 = 0
0 + 33x = 360 + -30
33x = 360 + -30

Combine like terms: 360 + -30 = 330
33x = 330

Divide each side by '33'.
x = 10

Simplifying
x = 10

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