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 $- 22$ .

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 $10 x + 20 = 8 x - 24$ .

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

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

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 $- 22$ .