Solve for x x/7-4=-2

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

Step 1

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

Add $4$ to both sides of the equation.

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

Add $- 2$ and $4$ .

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

Step 2

Multiply both sides of the equation by $7$ .

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

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

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

Rewrite the expression.

$x = 7 \cdot 2$

Simplify the right side.

Multiply $7$ by $2$ .

$x = 14$