What is the answer to 2/3 (1/4 x-2)= 1/5 (4/3 x-1) ?

The answer to 2/3 (1/4 x-2)= 1/5 (4/3 x-1) is x=-34/3

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2/3 (1/4 x-2)= 1/5 (4/3 x-1)

\frac{2}{3} (\frac{1}{4} x - 2) = \frac{1}{5} (\frac{4}{3} x - 1)

x = - \frac{34}{3}

Decimal Notation

x = - 11.33333 \dots

Solution steps

\frac{2}{3} (\frac{1}{4} x - 2) = \frac{1}{5} (\frac{4}{3} x - 1)

Expand

\frac{2}{3} (\frac{1}{4} x - 2) : \frac{x}{6} - \frac{4}{3}

Expand

\frac{1}{5} (\frac{4}{3} x - 1) : \frac{4}{15} x - \frac{1}{5}

\frac{x}{6} - \frac{4}{3} = \frac{4}{15} x - \frac{1}{5}

Move

\frac{4}{3}

to the right side

\frac{x}{6} = \frac{17}{15} + \frac{4}{15} x

Move

\frac{4}{15} x

to the left side

- \frac{x}{10} = \frac{17}{15}

Multiply both sides by

10

- x = \frac{34}{3}

Divide both sides by

- 1

x = - \frac{34}{3}

\frac{9 !}{( 9 - 9 ) ! 9 !}

\frac{2}{3} + \frac{1}{2} x = \frac{8}{24}

- 5 \cdot - 80

25 v^{2} = 1

x = \frac{x}{12}

What is the answer to 2/3 (1/4 x-2)= 1/5 (4/3 x-1) ?
The answer to 2/3 (1/4 x-2)= 1/5 (4/3 x-1) is x=-34/3
Solve for x: 2/3 (1/4 x-2)= 1/5 (4/3 x-1)
The solution is x=-34/3