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

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

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

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

Remove parenthesis around (-1 + x)
-1 + x = (6 + -2x)

Remove parenthesis around (6 + -2x)
-1 + x = 6 + -2x

Solving
-1 + x = 6 + -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.
-1 + x + 2x = 6 + -2x + 2x

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

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

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

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

Combine like terms: 6 + 1 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333