Solve for x

𝑥
in the equation 811(x+45)=2455
8
11
(
𝑥
+
4
5
)
=
24
55
.(1 point)..

1 answer

To solve the equation

\[ 811(x + 45) = 2455, \]

we first divide both sides by 811 to isolate the term with \( x \):

\[ x + 45 = \frac{2455}{811}. \]

Next, we need to calculate \( \frac{2455}{811} \):

\[ \frac{2455}{811} \approx 3.029. \]

Now, we can continue with the equation:

\[ x + 45 \approx 3.029. \]

Next, we subtract 45 from both sides:

\[ x \approx 3.029 - 45. \]

Finally, calculating the right side:

\[ x \approx -41.971. \]

Thus, the solution is approximately:

\[ x \approx -41.971. \]