6+4x=0.3333(6x+9)

Solution for 6+4x=0.3333(6x+9) equation:

Simplifying
6 + 4x = 0.3333(6x + 9)

Reorder the terms:
6 + 4x = 0.3333(9 + 6x)
6 + 4x = (9 * 0.3333 + 6x * 0.3333)
6 + 4x = (2.9997 + 1.9998x)

Solving
6 + 4x = 2.9997 + 1.9998x

Solving for variable 'x'.

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

Add '-1.9998x' to each side of the equation.
6 + 4x + -1.9998x = 2.9997 + 1.9998x + -1.9998x

Combine like terms: 4x + -1.9998x = 2.0002x
6 + 2.0002x = 2.9997 + 1.9998x + -1.9998x

Combine like terms: 1.9998x + -1.9998x = 0.0000
6 + 2.0002x = 2.9997 + 0.0000
6 + 2.0002x = 2.9997

Add '-6' to each side of the equation.
6 + -6 + 2.0002x = 2.9997 + -6

Combine like terms: 6 + -6 = 0
0 + 2.0002x = 2.9997 + -6
2.0002x = 2.9997 + -6

Combine like terms: 2.9997 + -6 = -3.0003
2.0002x = -3.0003

Divide each side by '2.0002'.
x = -1.5

Simplifying
x = -1.5