Question

Please help

Solve for x: 2 over 3 (x − 2) = 4x. (1 point)
negative 2 over 5

negative 5 over 2

2 over 5

5

Answer 1

The value of x is
`(-2)/(5)`.

Explanation:

Given expression is:

`(2)/(3)(x-2)=4x`

We have to solve this for x.

First we will multiply both sides of the equation by 3

`3*(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

`(10x)/(10)=(-4)/(10)\\\\x=(-2)/(5)`

Hence,

The value of x is
`(-2)/(5)`.