Answer:
x = 5/9
Step-by-step explanation:
[tex]\frac{3}{2}=\frac{3x}{2}-\frac{6x}{5}\\[/tex]
In order to make this equation easier, we can multiply both sides by a number to get rid of the fractions. The denominators are 2 and 5. We can multiply both sides by 10 (the lcm)
[tex]10*\frac{3}{2} =10\frac{3x}{2}+10\frac{6x}{5}\\15 = 15x+12x\\15 = 27x\\x = \frac{15}{27}[/tex]
We can simplify this fraction. 15 and 27 are both multiples of 3
15/3 = 5
27/3 = 9
[tex]\frac{15}{27}[/tex]⇒[tex]\frac{5}{9}[/tex]
