Question

3/5(7/9х - 1/3)=х-2 1/3

Answer 1

Ответ:

3/5( 7/9х - 1/3 ) = х - 2 1/3

7/15x - 1/5 = x - 2 1/3

x -( 7/15)х = 2 1/3 - 1/5

8/15х = 2 5/15 - 3/15

8/15х = 2 2/15

8/15х = 32/15

8х = 32

х = 32 : 8

х = 4

Пошаговое объяснение:

Answer 2

To solve the given equation for $x$, let's follow these steps:

1. Distribute $\frac{3}{5}$ to the terms inside the parentheses.
2. Simplify both sides of the equation.
3. Isolate $x$ on one side of the equation.

Let's start with step 1:

$$\frac{3}{5} \times \left(\frac{7}{9}x - \frac{1}{3}\right) = x - \frac{2}{3}$$

Distributing $\frac{3}{5}$ to the terms inside the parentheses:

$$\frac{3}{5} \times \frac{7}{9}x - \frac{3}{5} \times \frac{1}{3} = x - \frac{2}{3}$$

Now, let's simplify each side of the equation in step 2:

On the left side:

$$\frac{21}{45}x - \frac{3}{15} = x - \frac{2}{3}$$

Simplify the fractions:

$$\frac{7}{15}x - \frac{1}{5} = x - \frac{2}{3}$$

Next, let's isolate $x$ on one side of the equation in step 3. First, let's get rid of the fractions by multiplying both sides by the least common denominator (LCD), which is $15$:

Multiply both sides by $15$:

$$15\left(\frac{7}{15}x - \frac{1}{5}\right) = 15\left(x - \frac{2}{3}\right)$$

Simplifying:

$$7x - 3 = 15x - 10$$

Now, let's isolate $x$ by moving $7x$ to the right side and moving $-3$ to the left side:

$$-3 + 10 = 15x - 7x$$

Solving for $x$:

$$7 = 8x$$

$$x = \frac{7}{8}$$

So, the value of $x$ that satisfies the given equation is $x = \frac{7}{8}$.