-4(3x+1)=2(-3x-1)

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Solution for -4(3x+1)=2(-3x-1) equation:


Simplifying
-4(3x + 1) = 2(-3x + -1)

Reorder the terms:
-4(1 + 3x) = 2(-3x + -1)
(1 * -4 + 3x * -4) = 2(-3x + -1)
(-4 + -12x) = 2(-3x + -1)

Reorder the terms:
-4 + -12x = 2(-1 + -3x)
-4 + -12x = (-1 * 2 + -3x * 2)
-4 + -12x = (-2 + -6x)

Solving
-4 + -12x = -2 + -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 + -12x + 6x = -2 + -6x + 6x

Combine like terms: -12x + 6x = -6x
-4 + -6x = -2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + -6x = -2 + 0
-4 + -6x = -2

Add '4' to each side of the equation.
-4 + 4 + -6x = -2 + 4

Combine like terms: -4 + 4 = 0
0 + -6x = -2 + 4
-6x = -2 + 4

Combine like terms: -2 + 4 = 2
-6x = 2

Divide each side by '-6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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