3x-1=x-6

Solution for 3x-1=x-6 equation:

Simplifying
3x + -1 = x + -6

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

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

Solving
-1 + 3x = -6 + x

Solving for variable 'x'.

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

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

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

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

Add '1' to each side of the equation.
-1 + 1 + 2x = -6 + 1

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

Combine like terms: -6 + 1 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5