11 = \\frac{2}{3}(4x + 6)

Answer:

$x = \frac{9}{8}$

Explanation:

Step1: Multiply both sides by $\frac{3}{2}$

$11\times\frac{3}{2}=4x + 6$ $\frac{33}{2}=4x + 6$

Step2: Subtract 6 from both sides

$\frac{33}{2}-6 = 4x$ $\frac{33 - 12}{2}=4x$ $\frac{21}{2}=4x$

Step3: Divide both sides by 4

$x=\frac{21}{2}\div4$ $x=\frac{21}{2}\times\frac{1}{4}$ $x = \frac{21}{8}$ $x=\frac{9}{8}$ (after simplification)