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

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

Solving
1 + 1x = 5

Solving for variable 'x'.

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

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

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

Combine like terms: 5 + -1 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4