Answer:
x = -2
Step-by-step explanation:
hey there,
< First multiply out the exponents.
[tex]\frac{2}{3} (x-4)[/tex] = [tex]\frac{2}{3}x-\frac{8}{3}[/tex]
[tex]\frac{2}{3}x-\frac{8}{3} = 2x[/tex]
Move all the "x"s to one side and regular numbers to the other.
[tex]\frac{2}{3}x-2x = \frac{8}{3}[/tex]
Simplify the "x"s by putting them both under the same denominator (3) then continuing to simplify.
[tex]-\frac{4}{3}x = \frac{8}{3}[/tex]
Move the number -4/3 to the other side by multiplying the reciprocal.
[tex]x = \frac{8}{3}[/tex]×([tex]-\frac{3}{4}[/tex])
That leaves you with x = -2. >
Hope this helped! Feel free to ask anything else.
