Solve for x.

Question

2 - 6/5x = -3

Answer 1

To solve the equation $2-\frac{6}{5}x=-3$, we can follow these steps:

1. Isolate the term with $x$: $$-\frac{6}{5}x=-3-2$$ This simplifies to: $$-\frac{6}{5}x=-5$$

2. Multiply both sides by -1 to eliminate the negative sign: $$\frac{6}{5}x=5$$

3. Multiply both sides by the reciprocal of $\frac{6}{5}$, which is $\frac{5}{6}$: $$x=5\cdot \frac{5}{6}$$ This simplifies to: $$x=\frac{25}{6}$$

Thus, the solution is: $$x=\frac{25}{6}$$