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

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

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

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

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

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

Combine like terms: -6 + 6 = 0
0 + 2x + -3x = (x + 2) + -1(x + -5)
2x + -3x = (x + 2) + -1(x + -5)

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

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

Remove parenthesis around (2 + x)
-1x = 2 + x + -1(x + -5)

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

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

Combine like terms: 2 + 5 = 7
-1x = 7 + x + -1x

Combine like terms: x + -1x = 0
-1x = 7 + 0
-1x = 7

Solving
-1x = 7

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -7

Simplifying
x = -7