Multiply both sides by $18$.

$(18)\frac{x}{6}=\frac{7}{3}(18)$

$3x = 42$

Divide both sides by $3$.

$x = 14$

Don't forget to check your solution!

Subtract $3x$ from both sides.

$\begin{aligned}[t] 3x + 2 &= 7x - 8 \\ -3x &= -3x \\ \hline 2 &= 4x - 8 \end{aligned}$

Add $8$ to both sides.

$\begin{aligned}[t] 2 &= 4x - 8 \\ + 8 &= \quad \; \, +8 \\ \hline 10 &= 4x \end{aligned}$

Divide by $4$.

$x=\frac{10}{4}=\frac{5}{2}=2.5$

Don't forget to check your answer!

See the hints in part (a).

See the hints in part (b).

Divide both sides by $6$.