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

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

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

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

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

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

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

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

Solving
-5 + 1x = 5

Solving for variable 'x'.

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

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

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

Combine like terms: 5 + 5 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10