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

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

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

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

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

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

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

Solving
1x = 1

Solving for variable 'x'.

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

Divide each side by '1'.
x = 1

Simplifying
x = 1