Basic Math Examples

$\frac{2}{7} z + \frac{3}{7} = - \frac{1}{7}$

Step 1

Combine $\frac{2}{7}$ and $z$ .

$\frac{2 z}{7} + \frac{3}{7} = - \frac{1}{7}$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $\frac{3}{7}$ from both sides of the equation.

$\frac{2 z}{7} = - \frac{1}{7} - \frac{3}{7}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{2 z}{7} = \frac{- 1 - 3}{7}$

Step 2.3

Subtract $3$ from $- 1$ .

$\frac{2 z}{7} = \frac{- 4}{7}$

Step 2.4

Move the negative in front of the fraction.

$\frac{2 z}{7} = - \frac{4}{7}$

Step 3

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

$2 z = - 4$

Step 4

Divide each term in $2 z = - 4$ by $2$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $2 z = - 4$ by $2$ .

$\frac{2 z}{2} = \frac{- 4}{2}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{2 z}{2} = \frac{- 4}{2}$

Step 4.2.1.2

Divide $z$ by $1$ .

$z = \frac{- 4}{2}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Divide $- 4$ by $2$ .

$z = - 2$