Question

Решите:32-2 12/47-3 39/47+x-7 41/47=22 2/47

Answer 1

Ответ:

$x = 4$

Пошаговое объяснение:

$32 - 2 \frac{12}{47} - 3 \frac{39}{47} + x - 7 \frac{41}{47} = 22 \frac{2}{47} \\ 32 - \frac{106}{47} - \frac{180}{47} + x - \frac{370}{47} = \frac{1036}{47} \\ \frac{848}{47} + x = \frac{1036}{47} \\ x = \frac{1036}{47} - \frac{848}{47} \\ x = 4$

Answer 2

To solve the equation, we need to isolate the variable "x" on one side of the equation. Let's go step by step:

1. Start by combining like terms on the left-hand side of the equation: 32 - (2 12/47) - 3 39/47 + x - 7 41/47 = 22 2/47

2. Convert all mixed fractions to improper fractions: 32 - (94/47) - (120/47) + x - (330/47) = 22 2/47

3. Find a common denominator for the fractions on the left-hand side (47): 32 - (94/47) - (120/47) + x - (330/47) = (1046/47)

4. Combine the fractions on the left-hand side: (32 - 94 - 120 - 330)/47 + x = 1046/47

5. Perform the operations on the left-hand side: (-512)/47 + x = 1046/47

6. Now, isolate the variable "x" by moving (-512)/47 to the right-hand side: x = 1046/47 + 512/47

7. Combine the fractions on the right-hand side: x = (1046 + 512)/47

8. Perform the final calculation: x = 1558/47

Thus, the value of "x" that satisfies the equation is: x = 1558/47

Please note that the answer is given as an improper fraction. If required, you can convert it to a mixed fraction or decimal.