ANSWER
x = 4
EXPLANATION
If two powers that have the same base are equal, it means that their exponents are equal as well. In this case, the base is 3, so,
[tex]2x+1=x+5[/tex]
To solve for x, subtract x from both sides,
[tex]\begin{gathered} 2x-x+1=x-x+5 \\ x+1=5 \end{gathered}[/tex]
And then, subtract 1 from both sides of the equation,
[tex]\begin{gathered} x+1-1=5-1 \\ x=4 \end{gathered}[/tex]
Hence, the value of x is 4.
