So firstly with this equation, you're gonna want to multiply [tex] \frac{3}{2} [/tex] with x-10 and that should bring the equation to [tex] \frac{3}{2} x-15= \frac{1}{2} x+5[/tex] .
Next, you're gonna want to add 15 on each side and your equation should look like [tex] \frac{3}{2} x= \frac{1}{2} x+20[/tex] .
Now you're gonna subtract [tex] \frac{1}{2} x[/tex] on each side and your equation should look like [tex] \frac{2}{2} x=20[/tex].
And since 2/2 is equal to one, your answer is [tex]x=20[/tex]