Solve for x

20 equals 5 - 3/8 x

1 answer

To solve the equation \( 20 = 5 - \frac{3}{8}x \), follow these steps:

  1. Subtract 5 from both sides: \[ 20 - 5 = -\frac{3}{8}x \] This simplifies to: \[ 15 = -\frac{3}{8}x \]

  2. Next, multiply both sides by \(-\frac{8}{3}\) to isolate \(x\): \[ x = 15 \cdot -\frac{8}{3} \]

  3. Calculate the right side: \[ x = -\frac{120}{3} = -40 \]

Thus, the solution is: \[ \boxed{-40} \]