Solve for x x/-4=2

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

Step 1

Multiply both sides of the equation by $- 4$ .

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

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 4 \frac{x}{- 4}$ .

Cancel the common factor of $4$ .

Factor $4$ out of $- 4$ .

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

Factor $4$ out of $- 4$ .

$4 \cdot - 1 \frac{x}{4 \cdot - 1} = - 4 \cdot 2$

Cancel the common factor.

$4 \cdot - 1 \frac{x}{4 \cdot - 1} = - 4 \cdot 2$

Rewrite the expression.

$- \frac{x}{- 1} = - 4 \cdot 2$

$- \frac{x}{- 1} = - 4 \cdot 2$

Simplify the expression.

Move the negative one from the denominator of $\frac{x}{- 1}$ .

$- (- 1 \cdot x) = - 4 \cdot 2$

Rewrite $- 1 \cdot x$ as $- x$ .

$- - x = - 4 \cdot 2$

$- - x = - 4 \cdot 2$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$1 x = - 4 \cdot 2$

Multiply $x$ by $1$ .

$x = - 4 \cdot 2$

$x = - 4 \cdot 2$

$x = - 4 \cdot 2$

$x = - 4 \cdot 2$

Simplify the right side.

Multiply $- 4$ by $2$ .

$x = - 8$

$x = - 8$

$x = - 8$

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