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 exponents
convert fraction to decimal
perfect the multiplication
evaluate functions
equation transformations
add to both sides
subtract from both sides
multiply both sides
divide both sides

Explanation:

Step1: Isolate the x-term

Subtract $\frac{2}{5}$ from both sides:
$$-\frac{x}{5} = \frac{4}{5} - \frac{2}{5}$$

Step2: Simplify the right-hand side

Combine the like fractions:
$$-\frac{x}{5} = \frac{4-2}{5} = \frac{2}{5}$$

Step3: Solve for x

Multiply both sides by $-5$:
$$x = \frac{2}{5} \times (-5)$$

Step4: Calculate the final value

Simplify the multiplication:
$$x = -2$$

Answer:

$x = -2$