(3x-18)+(5x+12)=360

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Solution for (3x-18)+(5x+12)=360 equation:


Simplifying
(3x + -18) + (5x + 12) = 360

Reorder the terms:
(-18 + 3x) + (5x + 12) = 360

Remove parenthesis around (-18 + 3x)
-18 + 3x + (5x + 12) = 360

Reorder the terms:
-18 + 3x + (12 + 5x) = 360

Remove parenthesis around (12 + 5x)
-18 + 3x + 12 + 5x = 360

Reorder the terms:
-18 + 12 + 3x + 5x = 360

Combine like terms: -18 + 12 = -6
-6 + 3x + 5x = 360

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

Solving
-6 + 8x = 360

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 8x = 360 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 360 + 6
8x = 360 + 6

Combine like terms: 360 + 6 = 366
8x = 366

Divide each side by '8'.
x = 45.75

Simplifying
x = 45.75

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