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

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

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

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

Reorder the terms:
3 + 3X + -2(-2 + X) = 5
3 + 3X + (-2 * -2 + X * -2) = 5
3 + 3X + (4 + -2X) = 5

Reorder the terms:
3 + 4 + 3X + -2X = 5

Combine like terms: 3 + 4 = 7
7 + 3X + -2X = 5

Combine like terms: 3X + -2X = 1X
7 + 1X = 5

Solving
7 + 1X = 5

Solving for variable 'X'.

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

Add '-7' to each side of the equation.
7 + -7 + 1X = 5 + -7

Combine like terms: 7 + -7 = 0
0 + 1X = 5 + -7
1X = 5 + -7

Combine like terms: 5 + -7 = -2
1X = -2

Divide each side by '1'.
X = -2

Simplifying
X = -2