(6+2x)=3(3x+4)

Solution for (6+2x)=3(3x+4) equation:

Simplifying
(6 + 2x) = 3(3x + 4)

Remove parenthesis around (6 + 2x)
6 + 2x = 3(3x + 4)

Reorder the terms:
6 + 2x = 3(4 + 3x)
6 + 2x = (4 * 3 + 3x * 3)
6 + 2x = (12 + 9x)

Solving
6 + 2x = 12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 2x + -9x = 12 + 9x + -9x

Combine like terms: 2x + -9x = -7x
6 + -7x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -7x = 12 + 0
6 + -7x = 12

Add '-6' to each side of the equation.
6 + -6 + -7x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 12 + -6
-7x = 12 + -6

Combine like terms: 12 + -6 = 6
-7x = 6

Divide each side by '-7'.
x = -0.8571428571

Simplifying
x = -0.8571428571