6(2x+7)=33x

Solution for 6(2x+7)=33x equation:

Simplifying
6(2x + 7) = 33x

Reorder the terms:
6(7 + 2x) = 33x
(7 * 6 + 2x * 6) = 33x
(42 + 12x) = 33x

Solving
42 + 12x = 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
42 + 12x + -33x = 33x + -33x

Combine like terms: 12x + -33x = -21x
42 + -21x = 33x + -33x

Combine like terms: 33x + -33x = 0
42 + -21x = 0

Add '-42' to each side of the equation.
42 + -42 + -21x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -21x = 0 + -42
-21x = 0 + -42

Combine like terms: 0 + -42 = -42
-21x = -42

Divide each side by '-21'.
x = 2

Simplifying
x = 2