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

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

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

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

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

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

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

Combine like terms: -4x + 4x = 0
6 + -2x = -12 + 0
6 + -2x = -12

Add '-6' to each side of the equation.
6 + -6 + -2x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -12 + -6
-2x = -12 + -6

Combine like terms: -12 + -6 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9