3(x-2)-2(x+1)=5

Solution for 3(x-2)-2(x+1)=5 equation:

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

Reorder the terms:
3(-2 + x) + -2(x + 1) = 5
(-2 * 3 + x * 3) + -2(x + 1) = 5
(-6 + 3x) + -2(x + 1) = 5

Reorder the terms:
-6 + 3x + -2(1 + x) = 5
-6 + 3x + (1 * -2 + x * -2) = 5
-6 + 3x + (-2 + -2x) = 5

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

Combine like terms: -6 + -2 = -8
-8 + 3x + -2x = 5

Combine like terms: 3x + -2x = 1x
-8 + 1x = 5

Solving
-8 + 1x = 5

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 1x = 5 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = 5 + 8
1x = 5 + 8

Combine like terms: 5 + 8 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13