6+4x=.33333(6x+9)

Solution for 6+4x=.33333(6x+9) equation:

Simplifying
6 + 4x = 0.33333(6x + 9)

Reorder the terms:
6 + 4x = 0.33333(9 + 6x)
6 + 4x = (9 * 0.33333 + 6x * 0.33333)
6 + 4x = (2.99997 + 1.99998x)

Solving
6 + 4x = 2.99997 + 1.99998x

Solving for variable 'x'.

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

Add '-1.99998x' to each side of the equation.
6 + 4x + -1.99998x = 2.99997 + 1.99998x + -1.99998x

Combine like terms: 4x + -1.99998x = 2.00002x
6 + 2.00002x = 2.99997 + 1.99998x + -1.99998x

Combine like terms: 1.99998x + -1.99998x = 0.00000
6 + 2.00002x = 2.99997 + 0.00000
6 + 2.00002x = 2.99997

Add '-6' to each side of the equation.
6 + -6 + 2.00002x = 2.99997 + -6

Combine like terms: 6 + -6 = 0
0 + 2.00002x = 2.99997 + -6
2.00002x = 2.99997 + -6

Combine like terms: 2.99997 + -6 = -3.00003
2.00002x = -3.00003

Divide each side by '2.00002'.
x = -1.5

Simplifying
x = -1.5