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

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

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

Reorder the terms:
2(-3 + x) + -3(x + -1) = -5
(-3 * 2 + x * 2) + -3(x + -1) = -5
(-6 + 2x) + -3(x + -1) = -5

Reorder the terms:
-6 + 2x + -3(-1 + x) = -5
-6 + 2x + (-1 * -3 + x * -3) = -5
-6 + 2x + (3 + -3x) = -5

Reorder the terms:
-6 + 3 + 2x + -3x = -5

Combine like terms: -6 + 3 = -3
-3 + 2x + -3x = -5

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

Solving
-3 + -1x = -5

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -1x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -5 + 3
-1x = -5 + 3

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2