-6(x-1)=-8(x-6)

Solution for -6(x-1)=-8(x-6) equation:

Simplifying
-6(x + -1) = -8(x + -6)

Reorder the terms:
-6(-1 + x) = -8(x + -6)
(-1 * -6 + x * -6) = -8(x + -6)
(6 + -6x) = -8(x + -6)

Reorder the terms:
6 + -6x = -8(-6 + x)
6 + -6x = (-6 * -8 + x * -8)
6 + -6x = (48 + -8x)

Solving
6 + -6x = 48 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
6 + -6x + 8x = 48 + -8x + 8x

Combine like terms: -6x + 8x = 2x
6 + 2x = 48 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 2x = 48 + 0
6 + 2x = 48

Add '-6' to each side of the equation.
6 + -6 + 2x = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 48 + -6
2x = 48 + -6

Combine like terms: 48 + -6 = 42
2x = 42

Divide each side by '2'.
x = 21

Simplifying
x = 21