To solve the equation \( \frac{3}{10}x - 5 = 1 \), follow these steps:
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Add 5 to both sides of the equation: \[ \frac{3}{10}x - 5 + 5 = 1 + 5 \] This simplifies to: \[ \frac{3}{10}x = 6 \]
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To isolate \( x \), multiply both sides by the reciprocal of \( \frac{3}{10} \), which is \( \frac{10}{3} \): \[ x = 6 \cdot \frac{10}{3} \] Multiplying this gives: \[ x = \frac{60}{3} = 20 \]
Thus, the solution to the equation is: \[ \boxed{20} \]