Question

2/3 + 5/3x = 5/7 - 1/3x 

Answer 1

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

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

\(x.\left(\dfrac{5}{3}+\dfrac{1}{3}\right)=\dfrac{15}{21}-\dfrac{14}{21}\)

\(x.2=\dfrac{1}{21}\)

\(x=\dfrac{1}{21}:2\)

\(x=\dfrac{1}{21}\times\dfrac{1}{2}\)

\(x=\dfrac{1}{42}\)

Answer 2

\(\dfrac{2}{3}+\dfrac{5}{3}x-\dfrac{5}{7}+\dfrac{1}{3}x=0< =>\left(\dfrac{2}{3}-\dfrac{5}{7}\right)+\left(\dfrac{5}{3}x+\dfrac{1}{3}x\right)=0< =>-\dfrac{1}{21}+2x=0< =>2x=\dfrac{1}{21}< =>x=\dfrac{1}{42}\)