4(X-3)+12=15-15(X+6)

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Solution for 4(X-3)+12=15-15(X+6) equation: 


Simplifying
4(X + -3) + 12 = 15 + -15(X + 6)

Reorder the terms:
4(-3 + X) + 12 = 15 + -15(X + 6)
(-3 * 4 + X * 4) + 12 = 15 + -15(X + 6)
(-12 + 4X) + 12 = 15 + -15(X + 6)

Reorder the terms:
-12 + 12 + 4X = 15 + -15(X + 6)

Combine like terms: -12 + 12 = 0
0 + 4X = 15 + -15(X + 6)
4X = 15 + -15(X + 6)

Reorder the terms:
4X = 15 + -15(6 + X)
4X = 15 + (6 * -15 + X * -15)
4X = 15 + (-90 + -15X)

Combine like terms: 15 + -90 = -75
4X = -75 + -15X

Solving
4X = -75 + -15X

Solving for variable 'X'.

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

Add '15X' to each side of the equation.
4X + 15X = -75 + -15X + 15X

Combine like terms: 4X + 15X = 19X
19X = -75 + -15X + 15X

Combine like terms: -15X + 15X = 0
19X = -75 + 0
19X = -75

Divide each side by '19'.
X = -3.947368421

Simplifying
X = -3.947368421

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