Solve for x 2/7(x+4)=-6

$\frac{2}{7} (x + 4) = - 6$

Multiply both sides of the equation by $\frac{7}{2}$ .

$\frac{7}{2} (\frac{2}{7} \cdot (x + 4)) = \frac{7}{2} \cdot - 6$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{7}{2} (\frac{2}{7} \cdot (x + 4))$ .

Apply the distributive property.

$\frac{7}{2} (\frac{2}{7} x + \frac{2}{7} \cdot 4) = \frac{7}{2} \cdot - 6$

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

$\frac{7}{2} (\frac{2 x}{7} + \frac{2}{7} \cdot 4) = \frac{7}{2} \cdot - 6$

Multiply $\frac{2}{7} \cdot 4$ .

Combine $\frac{2}{7}$ and $4$ .

$\frac{7}{2} (\frac{2 x}{7} + \frac{2 \cdot 4}{7}) = \frac{7}{2} \cdot - 6$

Multiply $2$ by $4$ .

$\frac{7}{2} (\frac{2 x}{7} + \frac{8}{7}) = \frac{7}{2} \cdot - 6$

Apply the distributive property.

$\frac{7}{2} \cdot \frac{2 x}{7} + \frac{7}{2} \cdot \frac{8}{7} = \frac{7}{2} \cdot - 6$

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7}{2} \cdot \frac{2 x}{7} + \frac{7}{2} \cdot \frac{8}{7} = \frac{7}{2} \cdot - 6$

Rewrite the expression.

$\frac{1}{2} (2 x) + \frac{7}{2} \cdot \frac{8}{7} = \frac{7}{2} \cdot - 6$

Cancel the common factor of $2$ .

Factor $2$ out of $2 x$ .

$\frac{1}{2} (2 (x)) + \frac{7}{2} \cdot \frac{8}{7} = \frac{7}{2} \cdot - 6$

Cancel the common factor.

$\frac{1}{2} (2 x) + \frac{7}{2} \cdot \frac{8}{7} = \frac{7}{2} \cdot - 6$

Rewrite the expression.

$x + \frac{7}{2} \cdot \frac{8}{7} = \frac{7}{2} \cdot - 6$

Cancel the common factor of $7$ .

Cancel the common factor.

$x + \frac{7}{2} \cdot \frac{8}{7} = \frac{7}{2} \cdot - 6$

Rewrite the expression.

$x + \frac{1}{2} \cdot 8 = \frac{7}{2} \cdot - 6$

Cancel the common factor of $2$ .

Factor $2$ out of $8$ .

$x + \frac{1}{2} \cdot (2 (4)) = \frac{7}{2} \cdot - 6$

Cancel the common factor.

$x + \frac{1}{2} \cdot (2 \cdot 4) = \frac{7}{2} \cdot - 6$

Rewrite the expression.

$x + 4 = \frac{7}{2} \cdot - 6$

Simplify the right side.

Simplify $\frac{7}{2} \cdot - 6$ .

Cancel the common factor of $2$ .

Factor $2$ out of $- 6$ .

$x + 4 = \frac{7}{2} \cdot (2 (- 3))$

Cancel the common factor.

$x + 4 = \frac{7}{2} \cdot (2 \cdot - 3)$

Rewrite the expression.

$x + 4 = 7 \cdot - 3$

Multiply $7$ by $- 3$ .

$x + 4 = - 21$

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

Subtract $4$ from both sides of the equation.

$x = - 21 - 4$

Subtract $4$ from $- 21$ .

$x = - 25$

Solve for x 2/7(x+4)=-6

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