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

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

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

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

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

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

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

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

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

Reorder the terms:
-1x = 3 + 1 + x + -1x

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

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

Solving
-1x = 4

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -4

Simplifying
x = -4