Question

Solve for x: two thirds(x − 2) = 4x.

Answer 1

Answer:

$x = - 0.4$

Step-by-step explanation:

$\frac{2}{3} (x - 2) = 4x$

Expand with the distributive rule:

$\frac{2}{3} x - \frac{2}{3} \times 2 = 4x$

$\frac{2}{3} x - \frac{4}{3} = 4x$

Add 4/3 to both sides:

$\frac{2}{3} x = 4x + \frac{4}{3}$

Subtract 4x from both sides

$- \frac{10}{3} x = \frac{4}{3}$

$- 10x = 4$

$x = - 0.4$