Question

(16 : х + 24) :4 = 8​

Answer 1

(16/x + 24)/4 = 8

16/x + 24 = 32

16/x = 8

x = 16/8 = 2.

Answer 2

(16:х+24):4=8

(16:х+24)=32

16:х=8

х=2

Answer 3

To solve the equation, let's first simplify the expression on the left side:

(16 : x + 24) : 4 = 8

Step 1: Simplify the inner expression (16 : x + 24) To simplify (16 : x + 24), we need to perform the division first. However, it seems like there might be some confusion in the notation used. I assume that (16 : x + 24) means "16 divided by (x + 24)." In mathematical notation, we can represent this as 16 / (x + 24).

So, the equation becomes:

(16 / (x + 24)) : 4 = 8

Step 2: Divide by 4 Now, we'll divide both sides of the equation by 4:

(16 / (x + 24)) / 4 = 8

Step 3: Simplify the left side To simplify the left side, we'll perform the division:

16 / (x + 24) = 8 * 4

Step 4: Simplify the right side Now, calculate the right side:

16 / (x + 24) = 32

Step 5: Solve for x To find the value of x, we'll isolate it on one side of the equation. To do that, we'll multiply both sides by (x + 24):

(x + 24) * (16 / (x + 24)) = 32 * (x + 24)

The (x + 24) term on the left side cancels out, leaving us with:

16 = 32 * (x + 24)

Step 6: Solve for x Now, isolate x on one side by dividing both sides by 32:

16 / 32 = x + 24

0.5 = x + 24

Step 7: Solve for x Finally, to find the value of x, subtract 24 from both sides:

x = 0.5 - 24

x = -23.5

So, the value of x that satisfies the equation is -23.5. Let's check if the equation is correct:

(16 / (-23.5 + 24)) / 4 = 8

(16 / 0.5) / 4 = 8

32 / 4 = 8

8 = 8

The equation is true, and x = -23.5 is the correct solution.