6(g+7)=3(4g+2)

Solution for 6(g+7)=3(4g+2) equation:

Simplifying
6(g + 7) = 3(4g + 2)

Reorder the terms:
6(7 + g) = 3(4g + 2)
(7 * 6 + g * 6) = 3(4g + 2)
(42 + 6g) = 3(4g + 2)

Reorder the terms:
42 + 6g = 3(2 + 4g)
42 + 6g = (2 * 3 + 4g * 3)
42 + 6g = (6 + 12g)

Solving
42 + 6g = 6 + 12g

Solving for variable 'g'.

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

Add '-12g' to each side of the equation.
42 + 6g + -12g = 6 + 12g + -12g

Combine like terms: 6g + -12g = -6g
42 + -6g = 6 + 12g + -12g

Combine like terms: 12g + -12g = 0
42 + -6g = 6 + 0
42 + -6g = 6

Add '-42' to each side of the equation.
42 + -42 + -6g = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -6g = 6 + -42
-6g = 6 + -42

Combine like terms: 6 + -42 = -36
-6g = -36

Divide each side by '-6'.
g = 6

Simplifying
g = 6