Solve the equation to find $x$.
\[
\begin{aligned}
5(2 x+4) & =8(x-3) \\
x & =1
\end{aligned}
\]

Answer

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Answer

Final Answer: The solution to the equation is $\boxed{-22}$.

Steps

Step 1 ：Distribute the 5 on the left side of the equation and the 8 on the right side of the equation to get $10x + 20 = 8x - 24$.

Step 2 ：Subtract 8x from both sides of the equation to get $2x + 20 = -24$.

Step 3 ：Subtract 20 from both sides of the equation to get $2x = -44$.

Step 4 ：Divide both sides of the equation by 2 to solve for x, which gives $x = -22$.

Step 5 ：Substitute $x = -22$ back into the original equation to verify that both sides of the equation are equal.

Step 6 ：Final Answer: The solution to the equation is $\boxed{-22}$.