Question

4(3x-2)=6

Answer 1

distribute the 4 into the parentheses first

Answer 2

so... 12x - 8 = 6

now the opposite of -8 is +8, so add 8 to both sides

12x = 14

and the opposite of multiplication is division, so divide 12 on both sides

x = 14/12

14/12 simplified is 7/6

Answer 3

I would divide both sides by 4 first to simplify your equation to be:
\[3x-2 = \frac{ 6 }{ 4 } = \frac{3}{2}\]
then add 2 to both sides to get x by itself:
\[3x = \frac{3}{2} + 2 = \frac{7}{2}\]
then divide both sides by 3 again to get:
\[x =\frac{7}{6}\]