3(3x+1)+2(4x-2)=33

Solution for 3(3x+1)+2(4x-2)=33 equation:

Simplifying
3(3x + 1) + 2(4x + -2) = 33

Reorder the terms:
3(1 + 3x) + 2(4x + -2) = 33
(1 * 3 + 3x * 3) + 2(4x + -2) = 33
(3 + 9x) + 2(4x + -2) = 33

Reorder the terms:
3 + 9x + 2(-2 + 4x) = 33
3 + 9x + (-2 * 2 + 4x * 2) = 33
3 + 9x + (-4 + 8x) = 33

Reorder the terms:
3 + -4 + 9x + 8x = 33

Combine like terms: 3 + -4 = -1
-1 + 9x + 8x = 33

Combine like terms: 9x + 8x = 17x
-1 + 17x = 33

Solving
-1 + 17x = 33

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 17x = 33 + 1

Combine like terms: -1 + 1 = 0
0 + 17x = 33 + 1
17x = 33 + 1

Combine like terms: 33 + 1 = 34
17x = 34

Divide each side by '17'.
x = 2

Simplifying
x = 2