Answer:
The value of x is [tex]\frac{-2}{5}[/tex].
Step-by-step explanation:
Given expression is:
[tex]\frac{2}{3}(x-2)=4x[/tex]
We have to solve this for x.
First we will multiply both sides of the equation by 3
[tex]3*\frac{2}{3}(x-2)=4x*3[/tex]
2(x-2) = 12x
2x-4=12x
Now we will be subtracting 2x from both sides of the equation
2x-2x-4=12x-2x
-4=10x
10x=-4
Dividing both sides by 10
[tex]\frac{10x}{10}=\frac{-4}{10}\\\\x=\frac{-2}{5}[/tex]
Hence,
The value of x is [tex]\frac{-2}{5}[/tex].
