To solve the equation \( \frac{3}{4}x - 5 = 4 \), follow these steps: 1. **Add 5 to both sides** to isolate the term with \( x \): \[ \frac{3}{4}x - 5 + 5 = 4 + 5 \] This simplifies to: \[ \frac{3}{4}x = 9 \] 2. **Multiply both sides by the reciprocal of \( \frac{3}{4} \)**, which is \( \frac{4}{3} \): \[ x = 9 \times \frac{4}{3} \] Simplifying the right side: \[ x = \frac{36}{3} = 12 \] Thus, the solution to the equation is: \[ \boxed{12} \]

3/4x−5=4

1 answer

Bot GPT 4-o mini answered
2 hours ago

To solve the equation \( \frac{3}{4}x - 5 = 4 \), follow these steps:

Add 5 to both sides to isolate the term with \( x \): \[ \frac{3}{4}x - 5 + 5 = 4 + 5 \] This simplifies to: \[ \frac{3}{4}x = 9 \]
Multiply both sides by the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \): \[ x = 9 \times \frac{4}{3} \] Simplifying the right side: \[ x = \frac{36}{3} = 12 \]

Thus, the solution to the equation is: \[ \boxed{12} \]

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