What is the answer to 3/5 (x-6)= 2/3 (3x-5) ?

The answer to 3/5 (x-6)= 2/3 (3x-5) is x=-4/21

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3/5 (x-6)= 2/3 (3x-5)

\frac{3}{5} (x - 6) = \frac{2}{3} (3 x - 5)

x = - \frac{4}{21}

Decimal Notation

x = - 0.19047 \dots

Solution steps

\frac{3}{5} (x - 6) = \frac{2}{3} (3 x - 5)

Expand

\frac{3}{5} (x - 6) : \frac{3}{5} x - \frac{18}{5}

Expand

\frac{2}{3} (3 x - 5) : 2 x - \frac{10}{3}

\frac{3}{5} x - \frac{18}{5} = 2 x - \frac{10}{3}

Move

\frac{18}{5}

to the right side

\frac{3}{5} x = 2 x + \frac{4}{15}

Move

2 x

to the left side

- \frac{7}{5} x = \frac{4}{15}

Multiply both sides by

5

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

Divide both sides by

- 7

x = - \frac{4}{21}

\frac{( ( x + y ) ( e x yy ) - e x y ( 1 ) )}{( x + y ) ^{2}}

5 x - 4 \geq 12

\frac{1}{0.0004}

x^{4} - 2 x^{3}

x^{2} + 2 x + 1 \geq 0

What is the answer to 3/5 (x-6)= 2/3 (3x-5) ?
The answer to 3/5 (x-6)= 2/3 (3x-5) is x=-4/21
Solve for x: 3/5 (x-6)= 2/3 (3x-5)
The solution is x=-4/21