Question

3/5(7/9х-1/3)=х-2*1/3​

Answer 1

Ответ:

7/8

Пошаговое объяснение:

21/45х - 3/15 = х - 2/3

21/45х - х = -2/3 + 3/15

-24/45х = -10/15 + 3/15

-8/15х = -7/15

х = -7/15 : (-8/15)

х = -7/15 * (-15/8)

х = 7/8

Answer 2

To solve the equation (3/5) * (7/9x - 1/3) = x - 2 * (1/3), you can follow these steps:

Step 1: Distribute the (3/5) on the left side of the equation to both terms inside the parentheses:

(3/5) * (7/9x) - (3/5) * (1/3) = x - 2 * (1/3)

Step 2: Simplify the right side of the equation:

(3/5) * (7/9x) - (3/5) * (1/3) = x - (2/3)

Step 3: Simplify further by multiplying the fractions:

(21/45x) - (3/15) = x - (2/3)

Step 4: Simplify the fractions and combine like terms:

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

Step 5: To isolate x on one side of the equation, let's first get rid of the fractions by multiplying both sides by the least common multiple (LCM) of the denominators, which is 15:

15 * [(7/15x) - (1/5)] = 15 * (x - 2/3)

This gives you:

7x - 3 = 15x - 10

Step 6: Move the variable terms (7x and 15x) to one side and the constant terms (-3 and -10) to the other side:

7x - 15x = -10 + 3

Step 7: Combine like terms:

-8x = -7

Step 8: Solve for x by dividing both sides by -8:

x = -7 / -8

x = 7/8

So, the solution to the equation is x = 7/8.