7 × [latex] 5^{x} [/latex] = 5 × [latex] 7^{x} [/latex]

[latex]7*5^x=5*7^x |:7^x\\ \\ 7*\frac{5^x}{7^x} =5* \frac{7^x}{7^x} \\ \\ 7*( \frac{5}{7} )^x=5|:7 \\ \\ (\frac{5}{7})^x= \frac{5}{7} \\ \\ x=1[/latex]