-4(3x-1)+6x=6(x+3)

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Solution for -4(3x-1)+6x=6(x+3) equation:


Simplifying
-4(3x + -1) + 6x = 6(x + 3)

Reorder the terms:
-4(-1 + 3x) + 6x = 6(x + 3)
(-1 * -4 + 3x * -4) + 6x = 6(x + 3)
(4 + -12x) + 6x = 6(x + 3)

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

Reorder the terms:
4 + -6x = 6(3 + x)
4 + -6x = (3 * 6 + x * 6)
4 + -6x = (18 + 6x)

Solving
4 + -6x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + -6x + -6x = 18 + 6x + -6x

Combine like terms: -6x + -6x = -12x
4 + -12x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -12x = 18 + 0
4 + -12x = 18

Add '-4' to each side of the equation.
4 + -4 + -12x = 18 + -4

Combine like terms: 4 + -4 = 0
0 + -12x = 18 + -4
-12x = 18 + -4

Combine like terms: 18 + -4 = 14
-12x = 14

Divide each side by '-12'.
x = -1.166666667

Simplifying
x = -1.166666667

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