Question

5/6(1/3х-1/5)=7х-4(х-5/6)

Answer 1

Відповідь:

5/6(1/3х-1/5)=7х-4(х-5/6)

5/18х-1/6=7х-4х- 3 1/3

5/18х-3х=- 3 1/3+1/6

- 2 13/18х= -3 1/6

х =(-3 1/6):(-2 13/18)

х = 1 8/49

Покрокове пояснення:

Answer 2

To solve the equation, let's first simplify both sides step by step:

1. Distribute the terms on the right-hand side: 7x - 4(x - 5/6) = 7x - 4x + 20/6 = 3x + 20/6

2. Now, let's work on the left-hand side: 5/6 * (1/3x - 1/5) = 5/6 * (1/3x) - 5/6 * (1/5) = 5/18x - 1/6

So the equation becomes: 5/18x - 1/6 = 3x + 20/6

3. Now, let's get rid of the fractions. Multiply the whole equation by the least common multiple (LCM) of the denominators, which is 18:

18 * (5/18x - 1/6) = 18 * (3x + 20/6)

This simplifies to: 5x - 3 = 54x + 10

4. Now, let's isolate the variable terms on one side of the equation: 5x - 54x = 10 + 3

This becomes: -49x = 13

5. Finally, solve for x by dividing both sides by -49: x = 13 / -49

The simplified solution for the equation is: x = -13/49