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

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


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

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

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

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

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

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

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

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

Combine like terms: -4 + 4 = 0
0 + 10 + 12x + 18x + 15x + (5x) = 360
10 + 12x + 18x + 15x + (5x) = 360

Combine like terms: 12x + 18x = 30x
10 + 30x + 15x + (5x) = 360

Combine like terms: 30x + 15x = 45x
10 + 45x + (5x) = 360

Combine like terms: 45x + (5x) = 50x
10 + 50x = 360

Solving
10 + 50x = 360

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 50x = 360 + -10

Combine like terms: 10 + -10 = 0
0 + 50x = 360 + -10
50x = 360 + -10

Combine like terms: 360 + -10 = 350
50x = 350

Divide each side by '50'.
x = 7

Simplifying
x = 7

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