Solve the equation for x

Question

2/3x + 9 = -13
A x = −35

x = −35
B x = −33x = −33
C x = 11x = 11
D x = 30

Answer 1

To solve the equation \( \frac{2}{3}x + 9 = -13 \), follow these steps:

1. Subtract 9 from both sides: \[ \frac{2}{3}x + 9 - 9 = -13 - 9 \] \[ \frac{2}{3}x = -22 \]

2. Multiply both sides by the reciprocal of \( \frac{2}{3} \), which is \( \frac{3}{2} \): \[ x = -22 \times \frac{3}{2} \] \[ x = -22 \times 1.5 \] \[ x = -33 \]

So, the solution is \( x = -33 \).

The correct answer is B: \( x = -33 \).