Problem

Solve the equation.
4(4+2x)=7(x−4)
Select the correct choice below and fill in any answer boxes in your choice.
A. The solution set is \{\} . (Simplify your answer.)
B. There is no solution.

Answer

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Answer

Final Answer: The solution to the equation is −44.

Steps

Step 1 ：Distribute the 4 on the left side of the equation to get 16+8x and distribute the 7 on the right side of the equation to get 7x−28.

Step 2 ：Combine like terms to get the equation 8x+16=7x−28.

Step 3 ：Isolate the variable x by subtracting 7x from both sides of the equation to get x+16=−28.

Step 4 ：Subtract 16 from both sides of the equation to get x=−44.

Step 5 ：Final Answer: The solution to the equation is −44.

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