Respuesta :

3/2(x - 10 ) = 1/2 x + 5
expand by using distributive property
3/2 x - 15 = 1/2 x + 5
subtract (1/2 x ) on both sides
x - 15 = 5
add 15 on both sides
x = 20

answer
C. x = 20
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]