i am having problems with this current equation.

10/(5+x)= 12

so far i have tried to multiply both sides by x+5 but then my answer is x = 4.16... and im thinking its wrong. Thanks in advance and if possible answer with a explaination would be greatly appreciated so i can so similar problems by myself

10/(5+x)= 12

10 = 12(5+x)
10 = 60 + 12x
10 - 60 = 12x
-50 = 12x
-4.16666 = x
-4.17 = x

I got about the same answer. :-)

Change the signs and round off.

If you substitute -4.1666 for x in the equation, you'll find it's right.

To solve the equation 10/(5+x) = 12 for x, you can follow these steps:

1. Start by multiplying both sides of the equation by (5+x) to eliminate the denominator on the left side:
10/(5+x) * (5+x) = 12 * (5+x)

Simplifying this gives:
10 = 12(5+x)

2. Distribute 12 through the parentheses on the right side:
10 = 60 + 12x

3. Now, subtract 60 from both sides to isolate the term with x:
10 - 60 = 60 - 60 + 12x

Simplifying further:
-50 = 12x

4. Divide both sides of the equation by 12 to solve for x:
(-50)/12 = (12x)/12

This gives the value of x as:
x = -50/12

5. Simplify the fraction:
x = -25/6 ≈ -4.17

So, the solution to the equation is approximately x = -4.17.

It seems that you made a calculation error while dividing -50 by 12 in step 4. The correct result is x ≈ -4.17.