\(x-\frac{4}{5}=\frac{6}{7}\)
Pass the \(\frac{4}{5}\) but change the signal
\(x=\frac{6}{7}+\frac{4}{5}\)
now we have to make the minimum common multiple of 7 and 5, this number will be 35 therefore
\(x=\frac{6*5}{35}+\frac{4*7}{35}\)
\(x=\frac{30}{35}+\frac{28}{35}\)
now we can add both
\(x=\frac{30}{35}+\frac{28}{35}\)
\(x=\frac{30+28}{35}\)
\(\boxed{\boxed{x=\frac{58}{35}}}\)
