Question
2/3x-6=10
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Answered by
GPT-4o mini
To solve the equation \( \frac{2}{3}x - 6 = 10 \), follow these steps:
1. **Add 6 to both sides** to isolate the term with \( x \):
\[
\frac{2}{3}x - 6 + 6 = 10 + 6
\]
This simplifies to:
\[
\frac{2}{3}x = 16
\]
2. **Multiply both sides by the reciprocal of \( \frac{2}{3} \)**, which is \( \frac{3}{2} \):
\[
x = 16 \times \frac{3}{2}
\]
Calculate:
\[
x = 16 \times \frac{3}{2} = \frac{48}{2} = 24
\]
So, the solution is:
\[
x = 24
\]
1. **Add 6 to both sides** to isolate the term with \( x \):
\[
\frac{2}{3}x - 6 + 6 = 10 + 6
\]
This simplifies to:
\[
\frac{2}{3}x = 16
\]
2. **Multiply both sides by the reciprocal of \( \frac{2}{3} \)**, which is \( \frac{3}{2} \):
\[
x = 16 \times \frac{3}{2}
\]
Calculate:
\[
x = 16 \times \frac{3}{2} = \frac{48}{2} = 24
\]
So, the solution is:
\[
x = 24
\]
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