2(x-3)-3(x-2)=x+8

Solution for 2(x-3)-3(x-2)=x+8 equation:

Simplifying
2(x + -3) + -3(x + -2) = x + 8

Reorder the terms:
2(-3 + x) + -3(x + -2) = x + 8
(-3 * 2 + x * 2) + -3(x + -2) = x + 8
(-6 + 2x) + -3(x + -2) = x + 8

Reorder the terms:
-6 + 2x + -3(-2 + x) = x + 8
-6 + 2x + (-2 * -3 + x * -3) = x + 8
-6 + 2x + (6 + -3x) = x + 8

Reorder the terms:
-6 + 6 + 2x + -3x = x + 8

Combine like terms: -6 + 6 = 0
0 + 2x + -3x = x + 8
2x + -3x = x + 8

Combine like terms: 2x + -3x = -1x
-1x = x + 8

Reorder the terms:
-1x = 8 + x

Solving
-1x = 8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1x + -1x = 8 + x + -1x

Combine like terms: -1x + -1x = -2x
-2x = 8 + x + -1x

Combine like terms: x + -1x = 0
-2x = 8 + 0
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4