3(x-1)-2(x-1)=5

Solution for 3(x-1)-2(x-1)=5 equation:

Simplifying
3(x + -1) + -2(x + -1) = 5

Reorder the terms:
3(-1 + x) + -2(x + -1) = 5
(-1 * 3 + x * 3) + -2(x + -1) = 5
(-3 + 3x) + -2(x + -1) = 5

Reorder the terms:
-3 + 3x + -2(-1 + x) = 5
-3 + 3x + (-1 * -2 + x * -2) = 5
-3 + 3x + (2 + -2x) = 5

Reorder the terms:
-3 + 2 + 3x + -2x = 5

Combine like terms: -3 + 2 = -1
-1 + 3x + -2x = 5

Combine like terms: 3x + -2x = 1x
-1 + 1x = 5

Solving
-1 + 1x = 5

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 1x = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = 5 + 1
1x = 5 + 1

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

Divide each side by '1'.
x = 6

Simplifying
x = 6