-2/5=4x

Answer 1

To solve the equation \(-\frac{2}{5} = 4x\), follow these steps:

1. Isolate \(x\) by dividing both sides of the equation by \(4\):

   \[ x = -\frac{2}{5} \div 4 \]

2. Rewrite the division as multiplication by the reciprocal:

   \[ x = -\frac{2}{5} \times \frac{1}{4} \]

3. Multiply the fractions:

   \[ x = -\frac{2 \times 1}{5 \times 4} = -\frac{2}{20} \]

4. Simplify the fraction:

   \[ x = -\frac{1}{10} \]

So, the solution is:

\[ x = -\frac{1}{10} \]