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

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

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

Reorder the terms:
3(3 + x) + -2(x + 3) = 5
(3 * 3 + x * 3) + -2(x + 3) = 5
(9 + 3x) + -2(x + 3) = 5

Reorder the terms:
9 + 3x + -2(3 + x) = 5
9 + 3x + (3 * -2 + x * -2) = 5
9 + 3x + (-6 + -2x) = 5

Reorder the terms:
9 + -6 + 3x + -2x = 5

Combine like terms: 9 + -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 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2