Answer:
x = 1
Step-by-step explanation:
[tex]5(10^x+2)=60 \\ \\ 10^x+2= \frac{60}{5} \\ \\ 10^x+2= 12 \\ \\ {10}^{x} = 12 - 2\\ \\ {10}^{x} = {10} \\ \\ {10}^{x} = {10}^{1} \\ \\ x = 1[/tex]