Respuesta :

Answer:

x=1

Explanation:

Given the equation:

[tex]\frac{2}{5}x=\frac{6}{15}[/tex]

Step 1: Multiply both sides of the equation by the lowest common multiple of 5 and 15.

[tex]\begin{gathered} \frac{2x}{5}\times15=\frac{6}{15}\times15 \\ 6x=6 \end{gathered}[/tex]

Step 2: Divide both sides of the equation by 6.

[tex]\begin{gathered} \frac{6x}{6}=\frac{6}{6} \\ x=1 \end{gathered}[/tex]

The solution to the equation is x=1.