What is the answer to 2/3 (x-2)=4x ?

The answer to 2/3 (x-2)=4x is x=-2/5

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2/3 (x-2)=4x

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

x = - \frac{2}{5}

Decimal Notation

x = - 0.4

Solution steps

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

Expand

\frac{2}{3} (x - 2) : \frac{2}{3} x - \frac{4}{3}

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

Move

\frac{4}{3}

to the right side

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

Move

4 x

to the left side

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

Multiply both sides by

3

- 10 x = 4

Divide both sides by

- 10

x = - \frac{2}{5}

∣ 7 x - 7 ∣ < 21

7 x + 1 < 9

\frac{3}{1 + i} - \frac{4}{1 - i}

(4 x^{- 2} y^{4})^{- \frac{1}{2}}