Problem

$2 x+1=4 x-7$

Answer

Expert–verified
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Answer

\(\boxed{x = 4}\)

Steps

Step 1 :Subtract 2x from both sides: \(4x - 2x = 2x + 1 - 2x\) which simplifies to \(2x = 1 + 7\)

Step 2 :Add 7 to both sides: \(2x = 8\)

Step 3 :Divide both sides by 2: \(x = \frac{8}{2}\)

Step 4 :\(\boxed{x = 4}\)

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