Solving algebraic equations for x So I was able to find the least common denominator which is $12$ but I'm struggling to solving the equation: $$\frac{4(x - 2)}{6} - \frac{2(x + 4)}{4} = -\frac{2}{3}.$$

Multiplying both sides by $12$ gives you
$$12\times\frac{4(x - 2)}{6} - 12\times \frac{2(x + 4)}{4} =12\times\frac{-2}{3}\iff 8(x-2)-6(x+4)=-8.$$
