Questions: 2-3/8 x=20

2-3/8 x=20
Transcript text: $2-\frac{3}{8} x=20$
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Solution

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Solution Steps

To solve the equation \(2 - \frac{3}{8} x = 20\), we need to isolate the variable \(x\). First, subtract 2 from both sides of the equation. Then, multiply both sides by the reciprocal of \(-\frac{3}{8}\) to solve for \(x\).

Step 1: Subtract 2 from both sides

Starting with the equation: \[ 2 - \frac{3}{8} x = 20 \]

Subtract 2 from both sides: \[ -\frac{3}{8} x = 20 - 2 \] \[ -\frac{3}{8} x = 18 \]

Step 2: Multiply both sides by the reciprocal of \(-\frac{3}{8}\)

To isolate \( x \), multiply both sides by the reciprocal of \(-\frac{3}{8}\), which is \(-\frac{8}{3}\): \[ x = 18 \times -\frac{8}{3} \]

Step 3: Simplify the expression

Simplify the right-hand side: \[ x = 18 \times -\frac{8}{3} \] \[ x = -48 \]

Final Answer

\(\boxed{x = -48}\)

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