Answer:
[tex]-\frac{2}{5} =x[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} (x-2)=4x[/tex]
First, solve the brackets.
[tex]\frac{2x}{3}-\frac{4}{3} =4x[/tex]
[tex]\frac{2x-4}{3} =4x[/tex]
Now you can use cross multiplication.
[tex]\frac{2x-4}{3} =\frac{4x}{1}[/tex]
[tex]2x-4=3*4x[/tex]
[tex]2x-4=12x[/tex]
Now take 2x to the other side.
[tex]-4=12x-2x[/tex]
[tex]-4=10x[/tex]
[tex]\frac{-4}{10} =\frac{10x}{10}[/tex]
[tex]\frac{-4}{10} =x[/tex]
Now let us make the fraction in it's simplest form.
For that divide both sides by 2.
[tex]-\frac{2}{5} =x[/tex]
Hope this helps :-)
Let me know if you hav any other questions :-)