Question

\(\left(\frac{5}{3}-x\right).\left(\frac{-12}{5}+\frac{3}{2}\right)=-12\frac{1}{2}\)

Answer 1

\(\left(\frac{5}{3}-x\right).\left(-\frac{12}{5}+\frac{3}{2}\right)=-12\frac{1}{2}\)

\(\left(\frac{5}{3}-x\right).\left(-\frac{9}{10}\right)=-\frac{25}{2}\)

\(\left(\frac{5}{3}-x\right)=-\frac{25}{2}:\left(-\frac{9}{10}\right)\)

\(\frac{5}{3}-x=\frac{125}{9}\)

\(x=\frac{5}{3}-\frac{125}{9}\)

\(x=-\frac{110}{9}\)

Answer 2

\(\left(\frac{5}{3}-x\right)\left(-\frac{15}{5}+\frac{3}{2}\right)=-12\frac{1}{2}\)

<=> \(\left(\frac{5}{3}-x\right).\left(-\frac{9}{10}\right)=-\frac{25}{2}\)

<=> \(\frac{5}{3}-x=\frac{125}{9}\)=> x=\(-\frac{45}{98}\)