-6(x-1)=2(x-5)

Solution for -6(x-1)=2(x-5) equation:

Simplifying
-6(x + -1) = 2(x + -5)

Reorder the terms:
-6(-1 + x) = 2(x + -5)
(-1 * -6 + x * -6) = 2(x + -5)
(6 + -6x) = 2(x + -5)

Reorder the terms:
6 + -6x = 2(-5 + x)
6 + -6x = (-5 * 2 + x * 2)
6 + -6x = (-10 + 2x)

Solving
6 + -6x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -6x + -2x = -10 + 2x + -2x

Combine like terms: -6x + -2x = -8x
6 + -8x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -8x = -10 + 0
6 + -8x = -10

Add '-6' to each side of the equation.
6 + -6 + -8x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -10 + -6
-8x = -10 + -6

Combine like terms: -10 + -6 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2