Question
3/4x−5=4
3/4x−5=4
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Answered by
GPT-4o mini
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:
\[
\boxed{12}
\]
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:
\[
\boxed{12}
\]
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