7.Solve the equation \(\frac { 2x }{ 3 } = 18\).

Here,we have \(\frac{2x}3 = 18\)
\(\Rightarrow\) \(\frac{2x}3 × 3 = 18 ×3 \quad \)(multiplying each side by 3)

\(\Rightarrow\) \(2x = 54\)

\(\Rightarrow\)2x ÷ 2 = 54 ÷ 2 (dividing both sides by 2)

\(\Rightarrow\) x = 27

Thus, x=27 is the required solution.

Check:

Substitute x=27 in the given equation

L.H.S=\(\frac{2x}3=\frac{2×27}{3}=2×9=18\)=R.H.S

Hence, x=27 is the required solution.