Hi, would it be possible for a bit of guidance on the following question?

I need to find the value of x, here is what I have done so far,

x/3 +15 = 3 (x-11)

Mulitpiled each side by 3 (the denominator)

3(x/3 + 15) = 9 (x-11)

Multilpied out the brackets

x + 45 = 9x-99

Subtract x ?

45 = 8x-99

Now I get a little stuck, I am pretty sure x =18 but cannot get this with the final steps of the calculation.

Any help would be very much appreciated.

You were doing fine. Now add 99 to both sides.

8x = 144

Then divide both sides by 8
x = 18

Brilliant, thanks for that

To solve for x in the equation 45 = 8x - 99, we can begin by isolating the variable x.

First, add 99 to both sides of the equation:

45 + 99 = 8x - 99 + 99

This simplifies to:

144 = 8x

Next, divide both sides of the equation by 8 to solve for x:

144/8 = (8x)/8

The left side simplifies to:

18 = x

Therefore, the value of x in the given equation is 18.

It seems that you made a mistake during the simplification process. When you subtract x from both sides of the equation 45 = 8x - 99, the equation should become 45 + x = 8x - 99, not 45 = 8x - 99 as you wrote.

To correct this, subtract 8x from both sides of the equation instead of x.