Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Combine $x$ and $\frac{2}{5}$ .

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

Step 1.2

Move $2$ to the left of $x$ .

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

Step 2

Move all terms containing $x$ to the left side of the equation.

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Step 2.1

Add $\frac{2 x}{5}$ to both sides of the equation.

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

Step 2.2

Combine the opposite terms in $4 - \frac{2 x}{5} + \frac{2 x}{5}$ .

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Step 2.2.1

Add $- \frac{2 x}{5}$ and $\frac{2 x}{5}$ .

$4 + 0 = - 5$

Step 2.2.2

Add $4$ and $0$ .

$4 = - 5$

Step 3

Since $4 \neq - 5$ , there are no solutions.

No solution