(4x+12)+(x-1)+(2x+1)+(2x-3)=360

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Solution for (4x+12)+(x-1)+(2x+1)+(2x-3)=360 equation: 


Simplifying
(4x + 12) + (x + -1) + (2x + 1) + (2x + -3) = 360

Reorder the terms:
(12 + 4x) + (x + -1) + (2x + 1) + (2x + -3) = 360

Remove parenthesis around (12 + 4x)
12 + 4x + (x + -1) + (2x + 1) + (2x + -3) = 360

Reorder the terms:
12 + 4x + (-1 + x) + (2x + 1) + (2x + -3) = 360

Remove parenthesis around (-1 + x)
12 + 4x + -1 + x + (2x + 1) + (2x + -3) = 360

Reorder the terms:
12 + 4x + -1 + x + (1 + 2x) + (2x + -3) = 360

Remove parenthesis around (1 + 2x)
12 + 4x + -1 + x + 1 + 2x + (2x + -3) = 360

Reorder the terms:
12 + 4x + -1 + x + 1 + 2x + (-3 + 2x) = 360

Remove parenthesis around (-3 + 2x)
12 + 4x + -1 + x + 1 + 2x + -3 + 2x = 360

Reorder the terms:
12 + -1 + 1 + -3 + 4x + x + 2x + 2x = 360

Combine like terms: 12 + -1 = 11
11 + 1 + -3 + 4x + x + 2x + 2x = 360

Combine like terms: 11 + 1 = 12
12 + -3 + 4x + x + 2x + 2x = 360

Combine like terms: 12 + -3 = 9
9 + 4x + x + 2x + 2x = 360

Combine like terms: 4x + x = 5x
9 + 5x + 2x + 2x = 360

Combine like terms: 5x + 2x = 7x
9 + 7x + 2x = 360

Combine like terms: 7x + 2x = 9x
9 + 9x = 360

Solving
9 + 9x = 360

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 9x = 360 + -9

Combine like terms: 9 + -9 = 0
0 + 9x = 360 + -9
9x = 360 + -9

Combine like terms: 360 + -9 = 351
9x = 351

Divide each side by '9'.
x = 39

Simplifying
x = 39

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