Question

(2 2/5x+1 2/3)-5/6=5 19/30

Answer 1

Ответ:

x = 2

Пошаговое объяснение:

2 2/5*x + 1 2/3 - 5/6 = 5 19/30

2 2/5*x = -5/3 + 5/6 + 169/30

2 2/5*x = 169/30 + 25/30 - 50/30

2 2/5*x = 144/30

2 2/5*x = 4 24/30

2 2/5*x = 4 4/5

12/5*x = 24/5

x = 24/5 : 12/5

x = 24/5 * 5/12

x = 2/1 * 1/1

x = 2

Answer 2

To solve the equation $\frac{2}{5}x + \frac{1}{3} - \frac{5}{6} = \frac{5}{30} + \frac{19}{30}$, you need to follow these steps:

First, simplify the right side of the equation:

$\frac{5}{30} + \frac{19}{30} = \frac{24}{30} = \frac{4}{5}$.

So, the equation becomes:

$\frac{2}{5}x + \frac{1}{3} - \frac{5}{6} = \frac{4}{5}$.

To solve for $x$, you can first find a common denominator for the fractions on the left side of the equation, which is 30:

$\frac{12}{30}x + \frac{10}{30} - \frac{25}{30} = \frac{24}{30}$.

Combine the fractions:

$\frac{12x + 10 - 25}{30} = \frac{24}{30}$.

Simplify the numerator:

$\frac{12x - 15}{30} = \frac{24}{30}$.

Now, set the numerators equal to each other:

$12x - 15 = 24$.

Add 15 to both sides:

$12x = 39$.

Finally, divide by 12:

$x = \frac{39}{12} = \frac{13}{4}$.