Solve for x . 20=5−3 over 8 x (1 point)

1 answer

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

  1. Start with the equation: \[ 20 = 5 - \frac{3}{8} x \]

  2. Subtract 5 from both sides to isolate the term with \( x \): \[ 20 - 5 = -\frac{3}{8} x \] \[ 15 = -\frac{3}{8} x \]

  3. Multiply both sides by -1 to make the \( x \) term positive: \[ -15 = \frac{3}{8} x \]

  4. To isolate \( x \), multiply both sides by the reciprocal of \(\frac{3}{8}\), which is \(\frac{8}{3}\): \[ x = -15 \times \frac{8}{3} \] \[ x = -\frac{120}{3} \] \[ x = -40 \]

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