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Question

3/4x−5=4

Answer 1

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: $$\boxed{{\displaystyle 12}}$$