Question

solve for x.
\frac{2}{5} - \frac{x}{5} = \frac{4}{5}
-\frac{x}{5} = \frac{4}{5} - \frac{2}{5}
choose an action to perform.
ways to rewrite expressions
combine like terms
distribute
rewrite division as multiplication
rewrite signs
convert fraction to decimal
perform multiplication
rewrite fractions
equation transformations
add to both sides
subtract from both sides
multiply both sides
divide both sides

Explanation:

Step1: Combine right-hand side terms

$$-\frac{x}{5} = \frac{4-2}{5}$$
$$-\frac{x}{5} = \frac{2}{5}$$

Step2: Multiply both sides by 5

$$-x = 2$$

Step3: Multiply by -1 to solve for x

$$x = -2$$

Answer:

$x=-2$