Answer:
[tex]x = - \frac{2}{13} [/tex]
Step-by-step explanation:
[tex] \frac{2}{7} (x - 2) = 4x[/tex]
Multiply through by 7 inorder to clear out the fraction
That's
[tex]2 \times \frac{2}{7} (x - 2) = 4x \times 7[/tex]
We have
[tex]2(x - 2) = 28x[/tex]
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
[tex] \frac{ - 26x}{ - 26} = - \frac{4}{26} [/tex]
We have the final answer as
[tex]x = - \frac{2}{13} [/tex]
Hope this helps you
