3(x+2)+2(x+1)=33

Solution for 3(x+2)+2(x+1)=33 equation:

Simplifying
3(x + 2) + 2(x + 1) = 33

Reorder the terms:
3(2 + x) + 2(x + 1) = 33
(2 * 3 + x * 3) + 2(x + 1) = 33
(6 + 3x) + 2(x + 1) = 33

Reorder the terms:
6 + 3x + 2(1 + x) = 33
6 + 3x + (1 * 2 + x * 2) = 33
6 + 3x + (2 + 2x) = 33

Reorder the terms:
6 + 2 + 3x + 2x = 33

Combine like terms: 6 + 2 = 8
8 + 3x + 2x = 33

Combine like terms: 3x + 2x = 5x
8 + 5x = 33

Solving
8 + 5x = 33

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 5x = 33 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 33 + -8
5x = 33 + -8

Combine like terms: 33 + -8 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5