Respuesta :
Multiply the entire equation by the least common denominator which would be 10 to satisfy the the 1/2 and 1/ 5 so
15 = 15x - 12x
15 = 3x
Divide by 3 on both sides
5 = x
15 = 15x - 12x
15 = 3x
Divide by 3 on both sides
5 = x
Answer:
[tex]x=\frac{1}{5}[/tex]
Step-by-step explanation:
We have been given an equation [tex]\frac{3}{2}=\frac{3}{2x}-\frac{6}{5x}[/tex]. We are supposed to solve our given equation.
Upon multiplying both sides of our equation by 10x (least common multiple of 2, 2x and 5x), we will get:
[tex]\frac{3}{2}\times 10x=\frac{3}{2x}\times 10x-\frac{6}{5x}\times 10x[/tex]
[tex]3\times 5x=3\times 5-6\times 2[/tex]
[tex]15x=15-12[/tex]
[tex]15x=3[/tex]
[tex]\frac{15x}{15}=\frac{3}{15}[/tex]
[tex]x=\frac{1}{5}[/tex]
Therefore, the solution for our given equation is [tex]x=\frac{1}{5}[/tex].
