Question

Please help

Answer 1

Answer:

The value of x is $\frac{-2}{5}$.

Step-by-step explanation:

Given expression is:

$\frac{2}{3}(x-2)=4x$

We have to solve this for x.

First we will multiply both sides of the equation by 3

$3*\frac{2}{3}(x-2)=4x*3$

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

$\frac{10x}{10}=\frac{-4}{10}\\\\x=\frac{-2}{5}$

Hence,

The value of x is $\frac{-2}{5}$.