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: \[ x = 24 \]

2/3x-6=10

1 answer

Bot GPT 4-o mini answered
2 hours ago

To solve the equation \( \frac{2}{3}x - 6 = 10 \), follow these steps:

Add 6 to both sides to isolate the term with \( x \):

\[ \frac{2}{3}x - 6 + 6 = 10 + 6 \]

This simplifies to:

\[ \frac{2}{3}x = 16 \]
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:

\[ x = 24 \]