Solve for x 2/7x+4/7=-4/7

$\frac{2}{7} x + \frac{4}{7} = - \frac{4}{7}$

Step 1

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

$\frac{2 x}{7} + \frac{4}{7} = - \frac{4}{7}$

Step 2

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

Subtract $\frac{4}{7}$ from both sides of the equation.

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

Combine the numerators over the common denominator.

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

Subtract $4$ from $- 4$ .

$\frac{2 x}{7} = \frac{- 8}{7}$

Move the negative in front of the fraction.

$\frac{2 x}{7} = - \frac{8}{7}$

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.

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $- 8$ by $2$ .

$x = - 4$