Pre-Algebra Examples

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

Step 1

Combine $\frac{2}{3}$ and $x$ .

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

Step 2

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

Tap for more steps...

Step 2.1

Subtract $\frac{4}{3}$ from both sides of the equation.

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

Step 2.2

Combine the numerators over the common denominator.

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

Step 2.3

Subtract $4$ from $- 4$ .

$\frac{2 x}{3} = \frac{- 8}{3}$

Step 2.4

Move the negative in front of the fraction.

$\frac{2 x}{3} = - \frac{8}{3}$

Step 3

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

$2 x = - 8$

Step 4

Divide each term in $2 x = - 8$ by $2$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $2 x = - 8$ by $2$ .

$\frac{2 x}{2} = \frac{- 8}{2}$

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.

$\frac{2 x}{2} = \frac{- 8}{2}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 8}{2}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Divide $- 8$ by $2$ .

$x = - 4$