$5 x+3=7 x-1$

first we need to collect like terms

second is to undo addition and subtraction

third and the last is to undo multiplication and division so again the first step is to put $5 x$ and $7 x$ in one side $=7 x-5 x$ second put 3 and 1 in one side $=7 x-5 x=3+1$ now we will solve the answer $=2 \mathrm{x}=4$

now we will divide by 2 to the both sides $2 x / 2=4 / 2$

the answer now is $x=2$