ANSWER
[tex]x=3[/tex]
EXPLANATION
We want to solve the equation using a common base. Since the bases on both sides of the equation are equal, the exponents are also equal.
This implies that:
[tex]3x-7=5-x[/tex]
Collect like terms and simplify:
[tex]\begin{gathered} 3x+x=5+7 \\ 4x=12 \\ x=\frac{12}{4} \\ x=3 \end{gathered}[/tex]
That is the solution.
