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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = -0.3333333333