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

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

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

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

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

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

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

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

Solving
3 + 5x = 33

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 + 5x = 33 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 33 + -3
5x = 33 + -3

Combine like terms: 33 + -3 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6