3x - 4/5 = -1/2

Question

whats the value of x

Answer 1

To solve the equation $3x-\frac{4}{5}=-\frac{1}{2}$, follow these steps:

1. First, add $\frac{4}{5}$ to both sides of the equation to isolate the term with $x$:

   $$3x=-\frac{1}{2}+\frac{4}{5}$$

2. To add the fractions on the right-hand side, find a common denominator. The least common multiple of 2 and 5 is 10.

   Convert $-\frac{1}{2}$ and $\frac{4}{5}$ to have a denominator of 10:

   $$-\frac{1}{2}=-\frac{5}{10}$$ $$\frac{4}{5}=\frac{8}{10}$$

3. Now substitute these back into the equation:

   $$3x=-\frac{5}{10}+\frac{8}{10}$$

4. Combine the fractions:

   $$3x=\frac{3}{10}$$

5. Finally, divide both sides by 3 to solve for $x$:

   $$x=\frac{3}{10}÷3=\frac{3}{10}\cdot \frac{1}{3}=\frac{3}{30}=\frac{1}{10}$$

Thus, the value of $x$ is:

$$\boxed{{\displaystyle \frac{1}{10}}}$$