Question

Solve for x:2/7(x − 2) = 4x

Answer 1

Answer:

$x = - \frac{2}{13}$

Step-by-step explanation:

$\frac{2}{7} (x - 2) = 4x$

Multiply through by 7 inorder to clear out the fraction

That's

$2 \times \frac{2}{7} (x - 2) = 4x \times 7$

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

$\frac{ - 26x}{ - 26} = - \frac{4}{26}$

We have the final answer as

$x = - \frac{2}{13}$

Hope this helps you