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

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

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

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

Reorder the terms:
3 + -3x = 6 + -1x

Solving
3 + -3x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + -3x + x = 6 + -1x + x

Combine like terms: -3x + x = -2x
3 + -2x = 6 + -1x + x

Combine like terms: -1x + x = 0
3 + -2x = 6 + 0
3 + -2x = 6

Add '-3' to each side of the equation.
3 + -3 + -2x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 6 + -3
-2x = 6 + -3

Combine like terms: 6 + -3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5