Answer:
[tex]x = - 0.4[/tex]
Step-by-step explanation:
[tex] \frac{2}{3} (x - 2) = 4x[/tex]
Expand with the distributive rule:
[tex] \frac{2}{3} x - \frac{2}{3} \times 2 = 4x[/tex]
[tex] \frac{2}{3} x - \frac{4}{3} = 4x[/tex]
Add 4/3 to both sides:
[tex] \frac{2}{3} x = 4x + \frac{4}{3} [/tex]
Subtract 4x from both sides
[tex] - \frac{10}{3} x = \frac{4}{3} [/tex]
[tex] - 10x = 4[/tex]
[tex]x = - 0.4[/tex]
