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

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

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

Reorder the terms:
3(1 + 4x) + -2x = 33
(1 * 3 + 4x * 3) + -2x = 33
(3 + 12x) + -2x = 33

Combine like terms: 12x + -2x = 10x
3 + 10x = 33

Solving
3 + 10x = 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 + 10x = 33 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = 33 + -3
10x = 33 + -3

Combine like terms: 33 + -3 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3