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

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

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

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

Remove parenthesis around (-3 + x)
2[-3 + x + -3(2 + -1x)] = 5
2[-3 + x + (2 * -3 + -1x * -3)] = 5
2[-3 + x + (-6 + 3x)] = 5

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

Combine like terms: -3 + -6 = -9
2[-9 + x + 3x] = 5

Combine like terms: x + 3x = 4x
2[-9 + 4x] = 5
[-9 * 2 + 4x * 2] = 5
[-18 + 8x] = 5

Solving
-18 + 8x = 5

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 8x = 5 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = 5 + 18
8x = 5 + 18

Combine like terms: 5 + 18 = 23
8x = 23

Divide each side by '8'.
x = 2.875

Simplifying
x = 2.875