Solve \( \frac{x}{2}-2=6 \)

To solve the equation \( \frac{x}{2}-2=6 \), first, let's isolate the term with \( x \). Start by adding 2 to both sides: \[ \frac{x}{2} = 6 + 2 \] \[ \frac{x}{2} = 8 \] Next, to get rid of the fraction, multiply both sides by 2: \[ x = 8 \times 2 \] \[ x = 16 \] Thus, the solution to the equation is \( x = 16 \). Now, to check your work: Substitute \( x \) back into the original equation: \[ \frac{16}{2} - 2 = 6 \] \[ 8 - 2 = 6 \] \[ 6 = 6 \] The solution is verified!