Question

solve for x.
\frac{2}{5}-x = \frac{4}{5}
-\frac{x}{5}=\frac{4}{5}-\frac{2}{5}
-\frac{x}{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: Multiply both sides by -5

$$-\frac{x}{5} \times (-5) = \frac{2}{5} \times (-5)$$

Step2: Simplify to solve for x

$$x = -2$$

Answer:

$x=-2$