6+4x=0.3(6x+9)

Solution for 6+4x=0.3(6x+9) equation:

Simplifying
6 + 4x = 0.3(6x + 9)

Reorder the terms:
6 + 4x = 0.3(9 + 6x)
6 + 4x = (9 * 0.3 + 6x * 0.3)
6 + 4x = (2.7 + 1.8x)

Solving
6 + 4x = 2.7 + 1.8x

Solving for variable 'x'.

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

Add '-1.8x' to each side of the equation.
6 + 4x + -1.8x = 2.7 + 1.8x + -1.8x

Combine like terms: 4x + -1.8x = 2.2x
6 + 2.2x = 2.7 + 1.8x + -1.8x

Combine like terms: 1.8x + -1.8x = 0.0
6 + 2.2x = 2.7 + 0.0
6 + 2.2x = 2.7

Add '-6' to each side of the equation.
6 + -6 + 2.2x = 2.7 + -6

Combine like terms: 6 + -6 = 0
0 + 2.2x = 2.7 + -6
2.2x = 2.7 + -6

Combine like terms: 2.7 + -6 = -3.3
2.2x = -3.3

Divide each side by '2.2'.
x = -1.5

Simplifying
x = -1.5