Question

166,4÷(89-(7x+76,66))=32

Answer 1

166,4 : (89 - (7х + 76,66)) = 32

89 - (7х + 76,66) = 166,4 : 32

7х + 76,66 = 89 - 5,2

7х = 83,8 - 76,66

х = 7,14 : 7

х = 1,02

Проверим:

166,4 : (89 - (7*1,02 + 76,66)) = 32

166,4 : (89 - 83,8) = 32

166,4 : 5,2 = 32

32 = 32

Ответ: {1,02}

Answer 2

166,4: (89 - 7х - 76,66) = 32
166,4: (12,34 - 7х) = 32
12,34 - 7х = 166,4 : 32 = 1664/10 : 32/1 = 1664/10 * 1/32 = 52/10 = 5,2
7х = 12,34 - 5,2 = 7,14
х = 7,14 : 7 = 714/100 : 7/1 = 714/100 * 1/7 = 102/100 = 1,02

Answer 3

To solve the equation, we'll follow these steps:

Step 1: Simplify the expression inside the parentheses. Step 2: Perform the subtraction inside the parentheses. Step 3: Perform the division operation. Step 4: Solve for the variable (x).

Let's go through each step:

Step 1: Simplify the expression inside the parentheses (7x + 76.66): The expression inside the parentheses is 7x + 76.66.

Step 2: Perform the subtraction inside the parentheses (89 - (7x + 76.66)): We subtract the expression (7x + 76.66) from 89:

89 - (7x + 76.66) = 89 - 7x - 76.66

Step 3: Rewrite the equation with the simplified expression: The equation becomes:

166.4 ÷ (89 - 7x - 76.66) = 32

Step 4: Perform the division operation (166.4 ÷ (89 - 7x - 76.66)): We can now solve for the variable (x):

166.4 ÷ (89 - 7x - 76.66) = 32

To eliminate the division, we can multiply both sides by the denominator (89 - 7x - 76.66):

166.4 = 32 * (89 - 7x - 76.66)

Now, distribute the 32:

166.4 = 32 * (12.34 - 7x)

Next, divide both sides by 32:

166.4 / 32 = 12.34 - 7x

5.2 = 12.34 - 7x

Now, isolate the variable (x) by moving the constant term to the other side:

7x = 12.34 - 5.2

7x = 7.14

Finally, divide by 7 to solve for (x):

x = 7.14 / 7

x ≈ 1.02

So, the solution for the equation is approximately x = 1.02.