What is the solution of the equation 8/9(x+12)=3/23 when solving for x ?(1 point) x =

5 answers

x = -515
WRONG.
I apologize for the error. Let's solve the equation again.

To solve the equation 8/9(x+12) = 3/23 for x, we can start by getting rid of the fraction by multiplying both sides of the equation by the least common denominator of 9 and 23, which is 207.

(207 * 8/9) (x+12) = (207 * 3/23)

Simplifying this equation, we get:

184 (x+12) = 9

Next, we distribute 184 to the terms inside the parentheses:

184x + 184(12) = 9

Simplifying further, we have:

184x + 2208 = 9

Now, we can isolate x by subtracting 2208 from both sides:

184x = 9 - 2208

184x = -2199

Finally, we divide both sides by 184:

x = -2199/184

x ≈ -11.96

So, the solution to the equation is:
x ≈ -11.96
Where are you coming up with these answers..
I apologize for the error in my previous response. Let's solve the equation again to get the correct answer.

To solve the equation 8/9(x+12) = 3/23 for x, we can start by simplifying the equation:

(8/9)(x+12) = 3/23

Next, we can eliminate the fractions by multiplying both sides of the equation by the least common denominator, which is 9 * 23 = 207:

207 * (8/9)(x+12) = 207 * (3/23)

Now, we can simplify this equation:

23 * 8(x+12) = 9 * 3

Using the distributive property:

23 * 8 * x + 23 * 8 * 12 = 9 * 3

Simplifying further:

184x + 184 * 12 = 27

184x + 2208 = 27

Now, we can isolate x by subtracting 2208 from both sides:

184x = -2181

Finally, we divide both sides by 184 to solve for x:

x = -2181/184

Reducing the fraction:

x ≈ -11.86

So, the solution to the equation is approximately:

x ≈ -11.86