Question

Solve for x:2/7(x − 2) = 4x

Answer 1

`x = - (2)/(13)`

Explanation:

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

Multiply through by 7 inorder to clear out the fraction

That's

`2 * (2)/(7) (x - 2) = 4x * 7`

We have

`2(x - 2) = 28x`

Multiply the terms in the bracket

That's

2x - 4 = 28x

Subtract 28x from both sides

We have

2x - 28x - 4 = 28 - 28x

Simplify

- 26x = 4

Divide both sides by - 26

That's

`( - 26x)/( - 26) = - (4)/(26)`

We have the final answer as

`x = - (2)/(13)`

Hope this helps you