Question

Solve for x: 2/7 (x - 2) = 4x (9th grade algebra 1)

Answer 1

Answer:

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

Step-by-step explanation:

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

$= > \frac{2}{7} x - \frac{4}{7} = 4x$

$= > \frac{2}{7} x - 4x = \frac{4}{7}$

$= > \frac{2x - 28x}{7} = \frac{4}{7}$

$= > \frac{ - 26}{7} x = \frac{4}{7}$

$= > x = \frac{4}{7} \times \frac{7}{ - 26}$

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

$= > x = \frac{ - 2}{13} (ans)$

Answer 2

Answer:

x = -2/13

Step-by-step explanation:

$\dfrac{2}{7}(x-2) = 4x\\\\Multiply \ both \ sides \ by \ 7 \\\\\\7*\dfrac{2}{7}(x-2)=4x*7\\\\\\2(x -2)= 28x\\Divide \ both \ sides \ by \ 2\\\\\dfrac{2(x-2)}{2}=\dfrac{28x}{2}\\\\\\x - 2 = 14x$

Subtract 'x' from both sides

-2 = 14x - x

-2 = 13x

Divide both sides by 13

-2/13 = x

x = -2/13