What value of x satisfies the equation?: 3/2 x + 3 = 10

Answer 1

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

1. Subtract 3 from both sides of the equation: \[ \frac{3}{2} x = 10 - 3 \] \[ \frac{3}{2} x = 7 \]

2. To isolate \( x \), multiply both sides by the reciprocal of \( \frac{3}{2} \), which is \( \frac{2}{3} \): \[ x = 7 \times \frac{2}{3} \]

3. Carrying out the multiplication: \[ x = \frac{14}{3} \]

Thus, the value of \( x \) that satisfies the equation is \( \frac{14}{3} \).