Answer: x = -57/5 or x = -11 2/5
Step-by-step explanation:
[tex]\begin{array}{l}\frac{3}{4}\left(x+25\right)=\frac{51}{5}\longleftarrow10\ \frac{1}{5}\\\\4\cdot\ \left(\frac{3}{4}\left(x+25\right)=\frac{51}{5}\right)\cdot4\\\\3\left(x+25\right)=\frac{204}{5}\\\\\frac{3\left(x+25\right)}{3}=\frac{\frac{204}{5}}{3}\longrightarrow\ \frac{204}{5}\cdot\frac{1}{3}=\frac{68}{5}\\\\x+25=\frac{68}{5}\\\\x+25-25=\frac{68}{5}-25\\\\x=-\frac{57}{5}\ or\ -11\ \frac{2}{5}\end{array}\\[/tex]