3(x-2)-2(x-3)=27

Solution for 3(x-2)-2(x-3)=27 equation:

Simplifying
3(x + -2) + -2(x + -3) = 27

Reorder the terms:
3(-2 + x) + -2(x + -3) = 27
(-2 * 3 + x * 3) + -2(x + -3) = 27
(-6 + 3x) + -2(x + -3) = 27

Reorder the terms:
-6 + 3x + -2(-3 + x) = 27
-6 + 3x + (-3 * -2 + x * -2) = 27
-6 + 3x + (6 + -2x) = 27

Reorder the terms:
-6 + 6 + 3x + -2x = 27

Combine like terms: -6 + 6 = 0
0 + 3x + -2x = 27
3x + -2x = 27

Combine like terms: 3x + -2x = 1x
1x = 27

Solving
1x = 27

Solving for variable 'x'.

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

Divide each side by '1'.
x = 27

Simplifying
x = 27