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

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

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

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

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

Reorder the terms:
-6 + 2 + 2x + -1x = 5

Combine like terms: -6 + 2 = -4
-4 + 2x + -1x = 5

Combine like terms: 2x + -1x = 1x
-4 + 1x = 5

Solving
-4 + 1x = 5

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 1x = 5 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 5 + 4
1x = 5 + 4

Combine like terms: 5 + 4 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9