Solve for x.

Question

5/3 x - 4 = -9
A. x = 5
B. x = -5
C. x = -3
D. x = 3

Answer 1

To solve the equation $\frac{5}{3}x-4=-9$, follow these steps:

1. Add 4 to both sides of the equation: $$\frac{5}{3}x-4+4=-9+4$$ This simplifies to: $$\frac{5}{3}x=-5$$

2. Multiply both sides by the reciprocal of $\frac{5}{3}$, which is $\frac{3}{5}$: $$x=-5\cdot \frac{3}{5}$$

3. Simplify the right side: $$x=-3$$

Therefore, the solution is: $$\boxed{{\displaystyle -3}}$$

So, the correct choice is C. $x=-3$.