Problem

What value of $x$ would make these statements equal?
\[
4 x+12 \quad 80-x=
\]

Answer

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Answer

Final Answer: The value of x that makes the two expressions equal is \(\boxed{\frac{68}{5}}\).

Steps

Step 1 :Set the two expressions equal to each other: \(4x + 12 = 80 - x\).

Step 2 :Add x to both sides of the equation to get \(5x + 12 = 80\).

Step 3 :Subtract 12 from both sides of the equation to get \(5x = 68\).

Step 4 :Divide both sides of the equation by 5 to solve for x: \(x = \frac{68}{5}\).

Step 5 :Final Answer: The value of x that makes the two expressions equal is \(\boxed{\frac{68}{5}}\).

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