Pre-Algebra Examples

$4 x + \frac{1}{5} = \frac{3}{5}$

Step 1

Move all terms not containing $x$ to the right side of the equation.

Tap for more steps...

Step 1.1

Subtract $\frac{1}{5}$ from both sides of the equation.

$4 x = \frac{3}{5} - \frac{1}{5}$

Step 1.2

Combine the numerators over the common denominator.

$4 x = \frac{3 - 1}{5}$

Step 1.3

Subtract $1$ from $3$ .

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

Step 2

Divide each term in $4 x = \frac{2}{5}$ by $4$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $4 x = \frac{2}{5}$ by $4$ .

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

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

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

Step 2.2.1.2

Divide $x$ by $1$ .

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

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{2}{5} \cdot \frac{1}{4}$

Step 2.3.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.3.2.1

Factor $2$ out of $4$ .

$x = \frac{2}{5} \cdot \frac{1}{2 (2)}$

Step 2.3.2.2

Cancel the common factor.

$x = \frac{2}{5} \cdot \frac{1}{2 \cdot 2}$

Step 2.3.2.3

Rewrite the expression.

$x = \frac{1}{5} \cdot \frac{1}{2}$

Step 2.3.3

Multiply $\frac{1}{5}$ by $\frac{1}{2}$ .

$x = \frac{1}{5 \cdot 2}$

Step 2.3.4

Multiply $5$ by $2$ .

$x = \frac{1}{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{10}$

Decimal Form:

$x = 0.1$