3(3x-3)=x-1

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

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

Reorder the terms:
3(-3 + 3x) = x + -1
(-3 * 3 + 3x * 3) = x + -1
(-9 + 9x) = x + -1

Reorder the terms:
-9 + 9x = -1 + x

Solving
-9 + 9x = -1 + 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.
-9 + 9x + -1x = -1 + x + -1x

Combine like terms: 9x + -1x = 8x
-9 + 8x = -1 + x + -1x

Combine like terms: x + -1x = 0
-9 + 8x = -1 + 0
-9 + 8x = -1

Add '9' to each side of the equation.
-9 + 9 + 8x = -1 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = -1 + 9
8x = -1 + 9

Combine like terms: -1 + 9 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1