Answer:
Solution: x=5
Step-by-step explanation:
Equations
This is an equation in the form of a proportion or ratio:
[tex]\displaystyle \frac{2}{x+3}=\frac{5}{4x}[/tex]
To solve it, we eliminate the denominators by multiplying by both of them.
Multiply by (x+3)(4x):
[tex]\displaystyle (x+3)(4x)\frac{2}{x+3}=(x+3)(4x)\frac{5}{4x}[/tex]
Simplify both sides:
[tex](4x)*2=(x+3)*5[/tex]
Operate:
[tex]8x=5x+15[/tex]
Simplify:
[tex]3x=15[/tex]
Solve for x:
[tex]x=15/3=5[/tex]
Solution: x=5
