The equation to solve is:
[tex] \frac{x}{5}= \frac{4}{10} [/tex]
Step-by-step solution:
1) multiply both sides of the equation by 10:
[tex]10 \cdot \frac{x}{5} = 10\cdot \frac{4}{10}[/tex]
2) simplifying:
[tex]2x = 4[/tex]
3) dividing both terms by 2:
[tex]x= \frac{4}{2}=2 [/tex]
and the solution is x=2.