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Solve for x

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20=5−3/8x
(1 point)
x=

1 answer

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

  1. Start by isolating the variable term. Subtract 5 from both sides:

\[ 20 - 5 = -\frac{3}{8}x \]

This simplifies to:

\[ 15 = -\frac{3}{8}x \]

  1. To eliminate the negative sign and the fraction, multiply both sides by -1:

\[ -15 = \frac{3}{8}x \]

  1. Now, to solve for \( x \), multiply both sides by the reciprocal of \( \frac{3}{8} \), which is \( \frac{8}{3} \):

\[ x = -15 \times \frac{8}{3} \]

  1. Calculate the right-hand side:

\[ x = \frac{-15 \times 8}{3} = \frac{-120}{3} = -40 \]

Thus, the solution is:

\[ \boxed{-40} \]