$2 x+1=4 x-7$
\(\boxed{x = 4}\)
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 :\(\boxed{x = 4}\)