Answer:
x = 3
Explanation:
To solve the equation, we need to cross multiply, so:
[tex]\begin{gathered} \frac{x}{3}=\frac{x+2}{5} \\ x\cdot5^{}=3\cdot(x+2) \end{gathered}[/tex]
Then, we can apply the distributive property:
[tex]\begin{gathered} 5x=3(x)+3(2) \\ 5x=3x+6 \end{gathered}[/tex]
Subtract 3x from both sides of the equation:
[tex]\begin{gathered} 5x-3x=3x+6-3x \\ 2x=6 \end{gathered}[/tex]
Finally, divide both sides by 2:
[tex]\begin{gathered} \frac{2x}{2}=\frac{6}{2} \\ x=3 \end{gathered}[/tex]
Therefore, the value of x is 3.
