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

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

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

Reorder the terms:
3(-3 + x) + -2(x + 1) = 5
(-3 * 3 + x * 3) + -2(x + 1) = 5
(-9 + 3x) + -2(x + 1) = 5

Reorder the terms:
-9 + 3x + -2(1 + x) = 5
-9 + 3x + (1 * -2 + x * -2) = 5
-9 + 3x + (-2 + -2x) = 5

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

Combine like terms: -9 + -2 = -11
-11 + 3x + -2x = 5

Combine like terms: 3x + -2x = 1x
-11 + 1x = 5

Solving
-11 + 1x = 5

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 1x = 5 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = 5 + 11
1x = 5 + 11

Combine like terms: 5 + 11 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16