6+4x=3(6x+9)

Solution for 6+4x=3(6x+9) equation:

Simplifying
6 + 4x = 3(6x + 9)

Reorder the terms:
6 + 4x = 3(9 + 6x)
6 + 4x = (9 * 3 + 6x * 3)
6 + 4x = (27 + 18x)

Solving
6 + 4x = 27 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
6 + 4x + -18x = 27 + 18x + -18x

Combine like terms: 4x + -18x = -14x
6 + -14x = 27 + 18x + -18x

Combine like terms: 18x + -18x = 0
6 + -14x = 27 + 0
6 + -14x = 27

Add '-6' to each side of the equation.
6 + -6 + -14x = 27 + -6

Combine like terms: 6 + -6 = 0
0 + -14x = 27 + -6
-14x = 27 + -6

Combine like terms: 27 + -6 = 21
-14x = 21

Divide each side by '-14'.
x = -1.5

Simplifying
x = -1.5