Question

5/6(1/3x-1/5)=3x+10/3

Answer 1

Ответ:

5/18х-1/6=3х+10/3

5х-3=54х+60

5х-54х=60+3

-49х=63

х=-63/49

х=-9/7

Answer 2

Ответ:

x=9/7

Пошаговое объяснение:

потому что я так сказал

Answer 3

To solve the equation $\frac{5}{6} \left( \frac{1}{3}x - \frac{1}{5} \right) = 3x + \frac{10}{3}$ for $x$, follow these steps:

Step 1: Distribute the $\frac{5}{6}$ on the left side of the equation:

$\frac{5}{6} \cdot \frac{1}{3}x - \frac{5}{6} \cdot \frac{1}{5} = 3x + \frac{10}{3}$

This simplifies to:

$\frac{5}{18}x - \frac{1}{6} = 3x + \frac{10}{3}$

Step 2: Get rid of the fractions by multiplying both sides of the equation by the least common multiple of the denominators, which is $18$ in this case:

$18 \left( \frac{5}{18}x - \frac{1}{6} \right) = 18 \cdot (3x + \frac{10}{3})$

This simplifies to:

$5x - 3 = 54x + 20$

Step 3: Move the $5x$ term to one side of the equation and the constants to the other side:

$5x - 54x = 20 + 3$

$-49x = 23$

Step 4: Divide both sides by $-49$ to solve for $x$:

$x = -\frac{23}{49}$

So, the solution to the equation is $x = -\frac{23}{49}$.