(12x-4)+(18+4)+(15x+10)+(5x)=360

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Solution for (12x-4)+(18+4)+(15x+10)+(5x)=360 equation:


Simplifying
(12x + -4) + (18 + 4) + (15x + 10) + (5x) = 360

Reorder the terms:
(-4 + 12x) + (18 + 4) + (15x + 10) + (5x) = 360

Remove parenthesis around (-4 + 12x)
-4 + 12x + (18 + 4) + (15x + 10) + (5x) = 360

Combine like terms: 18 + 4 = 22
-4 + 12x + (22) + (15x + 10) + (5x) = 360
-4 + 12x + 22 + (15x + 10) + (5x) = 360

Reorder the terms:
-4 + 12x + 22 + (10 + 15x) + (5x) = 360

Remove parenthesis around (10 + 15x)
-4 + 12x + 22 + 10 + 15x + (5x) = 360

Reorder the terms:
-4 + 22 + 10 + 12x + 15x + (5x) = 360

Combine like terms: -4 + 22 = 18
18 + 10 + 12x + 15x + (5x) = 360

Combine like terms: 18 + 10 = 28
28 + 12x + 15x + (5x) = 360

Combine like terms: 12x + 15x = 27x
28 + 27x + (5x) = 360

Combine like terms: 27x + (5x) = 32x
28 + 32x = 360

Solving
28 + 32x = 360

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 32x = 360 + -28

Combine like terms: 28 + -28 = 0
0 + 32x = 360 + -28
32x = 360 + -28

Combine like terms: 360 + -28 = 332
32x = 332

Divide each side by '32'.
x = 10.375

Simplifying
x = 10.375

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