Pre-Algebra Examples

$\frac{2 x}{5} - \frac{3}{5} = \frac{4}{5}$

Step 1

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

Tap for more steps...

Step 1.1

Add $\frac{3}{5}$ to both sides of the equation.

$\frac{2 x}{5} = \frac{4}{5} + \frac{3}{5}$

Step 1.2

Combine the numerators over the common denominator.

$\frac{2 x}{5} = \frac{4 + 3}{5}$

Step 1.3

Add $4$ and $3$ .

$\frac{2 x}{5} = \frac{7}{5}$

Step 2

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$2 x = 7$

Step 3

Divide each term in $2 x = 7$ by $2$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $2 x = 7$ by $2$ .

$\frac{2 x}{2} = \frac{7}{2}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{7}{2}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{7}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{7}{2}$

Decimal Form:

$x = 3.5$

Mixed Number Form:

$x = 3 \frac{1}{2}$