Question

7/20x+5/12равно 2/3-1/5x​

Answer 1

Ответ:

Пошаговое объяснение:

7/20х + 5/12 = 2/3 - 1/5х

7/20х + 1/5х = 2/3 - 5/12

7/20х + 4/20х = 8/12 - 5/12

11/20х = 3/12

х = 3/12 : 11/20

х = 3/12 * 20/11

х = 3/3 * 5/11

х = 15/33

х = 5/11

Answer 2

Ответ:

7/20х+5/12=2/3-1/5х

7/20х+5/12+1/5х=2/3

11/20х+5/12=2/3

11/20х=2/3-5/12

11/20х=8/12-5/12

11/20х=8-5/12

11/20х=3/12

11/20х=1/4

х=1/4*(20/11)

х=1/4*20/11

х=20/44

х=5/11

Пошаговое объяснение:

Answer 3

To solve the given equation $\frac{7}{20}x + \frac{5}{12} = \frac{2}{3} - \frac{1}{5}x$, you can follow these steps:

First, let's get rid of the fractions by finding a common denominator. The common denominator for 20, 12, 3, and 5 is 60. Multiply the entire equation by 60 to eliminate the fractions:

$60 \times \left(\frac{7}{20}x\right) + 60 \times \left(\frac{5}{12}\right) = 60 \times \left(\frac{2}{3}\right) - 60 \times \left(\frac{1}{5}x\right)$.

Simplifying, you get:

$21x + 25 = 40 - 12x$.

Now, let's gather the x terms on one side and the constant terms on the other side:

$21x + 12x = 40 - 25$,

$33x = 15$.

Divide by 33 to solve for $x$:

$x = \frac{15}{33} = \frac{5}{11}$.

So, the solution to the given equation is $x = \frac{5}{11}$.