Solve: \( \frac{x}{4}-2=\frac{x}{3}+3 \)

To solve the equation \( \frac{x}{4}-2=\frac{x}{3}+3 \), first, eliminate the fractions by finding a common denominator. The least common multiple of 4 and 3 is 12. Multiply every term by 12: \[ 12\left(\frac{x}{4}\right) - 12(2) = 12\left(\frac{x}{3}\right) + 12(3) \] This simplifies to: \[ 3x - 24 = 4x + 36 \] Now, rearrange the equation to isolate \(x\). Move \(3x\) to the right side and \(36\) to the left: \[ -24 - 36 = 4x - 3x \] This results in: \[ -60 = x \] Thus, the solution is \( x = -60 \).