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

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


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

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

Remove parenthesis around (15 + -12x)
4x + 15 + -12x = 3(x + -6)

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

Combine like terms: 4x + -12x = -8x
15 + -8x = 3(x + -6)

Reorder the terms:
15 + -8x = 3(-6 + x)
15 + -8x = (-6 * 3 + x * 3)
15 + -8x = (-18 + 3x)

Solving
15 + -8x = -18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + -8x + -3x = -18 + 3x + -3x

Combine like terms: -8x + -3x = -11x
15 + -11x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -11x = -18 + 0
15 + -11x = -18

Add '-15' to each side of the equation.
15 + -15 + -11x = -18 + -15

Combine like terms: 15 + -15 = 0
0 + -11x = -18 + -15
-11x = -18 + -15

Combine like terms: -18 + -15 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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