Question

(\(\dfrac{5}{3}\)_{x + 2).(x + 1) - \(\dfrac{5}{3}\)x(x + 2) = 7}

Answer 1

\(\left(\dfrac{5}{3}x+2\right).\left(x+1\right)-\dfrac{5}{3}x\left(x+2\right)=7\)

\(\dfrac{5x^2}{3}+\dfrac{5x+6x+6}{3}-\dfrac{5}{3}x\left(x+2\right)=7\)

\(\dfrac{5x^2}{3}+\dfrac{11x+6}{3}=\dfrac{5}{3}x^2-\dfrac{5}{3}x.2=7\)

\(\dfrac{5x^2}{3}+\dfrac{11x+6}{3}-\dfrac{5x^2}{3}-\dfrac{5}{3}x.2=7\)

\(\dfrac{5x^2}{3}+\dfrac{11x+6}{3}-\dfrac{5x^2}{3}-\dfrac{10}{3}x=7\)

\(\dfrac{5x^2}{3}+\dfrac{11x+6}{3}-\dfrac{5x^2}{3}-\dfrac{10x}{3}=7\)

\(\dfrac{11x+6}{3}-\dfrac{10x}{3}=7\)

\(11x+6-\left(10x\right)=21\)

\(11x-\left(10x\right)+6=21\)

\(11x=\left(10x\right)=21-6=15\)

\(x=15\)