Question

Solve for x: 2/3 (x - 2) = 4x

Answer 1

\(\Huge\bf\color{seagreen}{Welcome~to~Openstudy!~:)}\)

Answer 2

Welcome to open study!! :)
X = - 2/5

Answer 3

Thanks so much

Answer 4

Distribute.
2/3x - 4/3 = 4x
Combine Like Terms.
-4/3 = 10/3x
Divide both sides by 10/3.
-12/30 = x
Simplify.
x = -2/5

Answer 5

welcome, medal? :)

Answer 6

\(\dfrac{2}{3}(x - 2) = 4x\)

First, multiply both sides by 3/2 to get rid of the fraction:

\(\color{red}{\dfrac{3}{2} \times}\dfrac{2}{3}(x - 2) = \color{red}{\dfrac{3}{2} \times}4x\)

\(x - 2 = 6x\)

Now subtract x from both sides:

\(-2 = 5x\)

Finally, divide both sides by 5:

\(-\dfrac{2}{5} = x\)