6+4x=.33(6x+9)

Solution for 6+4x=.33(6x+9) equation:

Simplifying
6 + 4x = 0.33(6x + 9)

Reorder the terms:
6 + 4x = 0.33(9 + 6x)
6 + 4x = (9 * 0.33 + 6x * 0.33)
6 + 4x = (2.97 + 1.98x)

Solving
6 + 4x = 2.97 + 1.98x

Solving for variable 'x'.

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

Add '-1.98x' to each side of the equation.
6 + 4x + -1.98x = 2.97 + 1.98x + -1.98x

Combine like terms: 4x + -1.98x = 2.02x
6 + 2.02x = 2.97 + 1.98x + -1.98x

Combine like terms: 1.98x + -1.98x = 0.00
6 + 2.02x = 2.97 + 0.00
6 + 2.02x = 2.97

Add '-6' to each side of the equation.
6 + -6 + 2.02x = 2.97 + -6

Combine like terms: 6 + -6 = 0
0 + 2.02x = 2.97 + -6
2.02x = 2.97 + -6

Combine like terms: 2.97 + -6 = -3.03
2.02x = -3.03

Divide each side by '2.02'.
x = -1.5

Simplifying
x = -1.5