Question

5/6(1/3x-1/5)=3x+3.1/3​

Answer 1

$\frac{5}{18}-\frac{1}{6}=3x+\frac{10}{3}\\ 5x-3=54x+60\\-49x=63\\x=-\frac{9}{7}$

Решение с учётом того, что 3.1/3 это 3 целых*1/3

Answer 2

To solve the equation:

5/6(1/3x - 1/5) = 3x + 3.1/3

Let's simplify the equation step by step:

First, distribute the 5/6 to the terms inside the parentheses:

(5/6) * (1/3x) - (5/6) * (1/5) = 3x + 3.1/3

Next, simplify each term:

5/6 * 1/3x = 5/18x 5/6 * 1/5 = 1/6

The equation becomes:

5/18x - 1/6 = 3x + 3.1/3

Now, let's get rid of the fractions by multiplying the entire equation by the least common denominator (LCD) of 18, 6, and 3 (which is 18):

18 * (5/18x) - 18 * (1/6) = 18 * (3x) + 18 * (3.1/3)

Simplifying:

5x - 3 = 54x + 18.1

Move all the x terms to one side and the constant terms to the other side:

5x - 54x = 18.1 + 3

Combine like terms:

-49x = 21.1

Divide both sides by -49:

x = 21.1 / -49

Calculating the approximate value:

x ≈ -0.4316

Therefore, the solution to the equation is x ≈ -0.4316.