3(x-1)-1=3+2(x-3)

Solution for 3(x-1)-1=3+2(x-3) equation:

Simplifying
3(x + -1) + -1 = 3 + 2(x + -3)

Reorder the terms:
3(-1 + x) + -1 = 3 + 2(x + -3)
(-1 * 3 + x * 3) + -1 = 3 + 2(x + -3)
(-3 + 3x) + -1 = 3 + 2(x + -3)

Reorder the terms:
-3 + -1 + 3x = 3 + 2(x + -3)

Combine like terms: -3 + -1 = -4
-4 + 3x = 3 + 2(x + -3)

Reorder the terms:
-4 + 3x = 3 + 2(-3 + x)
-4 + 3x = 3 + (-3 * 2 + x * 2)
-4 + 3x = 3 + (-6 + 2x)

Combine like terms: 3 + -6 = -3
-4 + 3x = -3 + 2x

Solving
-4 + 3x = -3 + 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.
-4 + 3x + -2x = -3 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-4 + 1x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 1x = -3 + 0
-4 + 1x = -3

Add '4' to each side of the equation.
-4 + 4 + 1x = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -3 + 4
1x = -3 + 4

Combine like terms: -3 + 4 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1