(2/3x-4/5)•15=8

To solve the equation \((\frac{2}{3}x - \frac{4}{5}) \cdot 15 = 8\), follow these steps:

1. Distribute the 15 to both terms inside the parentheses: \[ 15 \cdot \frac{2}{3}x - 15 \cdot \frac{4}{5} = 8 \]

2. Calculate \(15 \cdot \frac{2}{3}\): \[ 15 \cdot \frac{2}{3} = 5 \cdot 2 = 10 \]

3. Calculate \(15 \cdot \frac{4}{5}\): \[ 15 \cdot \frac{4}{5} = 3 \cdot 4 = 12 \]

4. Substitute these results back into the equation: \[ 10x - 12 = 8 \]

5. Add 12 to both sides: \[ 10x = 8 + 12 \] \[ 10x = 20 \]

6. Divide both sides by 10: \[ x = \frac{20}{10} = 2 \]

Therefore, the solution is \(x = 2\).