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

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

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

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

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

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

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

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

Solving
-3 + 1x = 5

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 1x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 5 + 3
1x = 5 + 3

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

Divide each side by '1'.
x = 8

Simplifying
x = 8