Question

2/3х-5/9=1/3+2хХ=? ​

Answer 1

....................................

Answer 2

Ответ:

2/3 x-2x=1/3+5/9

-4/3x=8/9

x=8/9:(-4/3)=8/9*(-3/4)

x=-2/3

Answer 3

To solve for x in the equation $\frac{2}{3}x - \frac{5}{9} = \frac{1}{3} + 2x$, you'll want to isolate x on one side of the equation. Here's how you can do it step by step:

1. Start by getting rid of the fractions by multiplying the entire equation by the least common multiple (LCM) of the denominators, which in this case is 9. This will clear the fractions from the equation.

$$9 \left(\frac{2}{3}x - \frac{5}{9}\right) = 9\left(\frac{1}{3} + 2x\right)$$

Now, simplify each term:

$$3(2x) - 5 = 3(1) + 18x$$

2. Distribute the numbers on both sides of the equation:

$6x - 5 = 3 + 18x$

3. Rearrange the equation by moving like terms to one side and constants to the other side. Subtract 18x from both sides and add 5 to both sides:

$6x - 18x = 3 + 5$

This simplifies to:

$-12x = 8$

4. Finally, isolate x by dividing both sides by -12:

$\frac{-12x}{-12} = \frac{8}{-12}$

Simplify:

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

So, the solution to the equation is $x = -\frac{2}{3}$.