Solve for x 40=x/(-4/7)

$40 = \frac{x}{(- \frac{4}{7})}$

Rewrite the equation as $\frac{x}{- \frac{4}{7}} = 40$ .

$\frac{x}{- \frac{4}{7}} = 40$

Multiply both sides of the equation by $- \frac{4}{7}$ .

$- \frac{4}{7} \cdot \frac{x}{- \frac{4}{7}} = - \frac{4}{7} \cdot 40$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{4}{7} \cdot \frac{x}{- \frac{4}{7}}$ .

Multiply the numerator by the reciprocal of the denominator.

$- \frac{4}{7} (x (- \frac{7}{4})) = - \frac{4}{7} \cdot 40$

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

$- \frac{4}{7} (- \frac{x \cdot 7}{4}) = - \frac{4}{7} \cdot 40$

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{4}{7}$ into the numerator.

$\frac{- 4}{7} (- \frac{x \cdot 7}{4}) = - \frac{4}{7} \cdot 40$

Move the leading negative in $- \frac{x \cdot 7}{4}$ into the numerator.

$\frac{- 4}{7} \cdot \frac{- x \cdot 7}{4} = - \frac{4}{7} \cdot 40$

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{7} \cdot \frac{- x \cdot 7}{4} = - \frac{4}{7} \cdot 40$

Cancel the common factor.

$\frac{4 \cdot - 1}{7} \cdot \frac{- x \cdot 7}{4} = - \frac{4}{7} \cdot 40$

Rewrite the expression.

$\frac{- 1}{7} (- x \cdot 7) = - \frac{4}{7} \cdot 40$

Cancel the common factor of $7$ .

Factor $7$ out of $- x \cdot 7$ .

$\frac{- 1}{7} (7 \cdot (- x)) = - \frac{4}{7} \cdot 40$

Cancel the common factor.

$\frac{- 1}{7} (7 \cdot (- x)) = - \frac{4}{7} \cdot 40$

Rewrite the expression.

$- - x = - \frac{4}{7} \cdot 40$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - \frac{4}{7} \cdot 40$

Multiply $x$ by $1$ .

$x = - \frac{4}{7} \cdot 40$

Simplify the right side.

Simplify $- \frac{4}{7} \cdot 40$ .

Multiply $- \frac{4}{7} \cdot 40$ .

Multiply $40$ by $- 1$ .

$x = - 40 (\frac{4}{7})$

Combine $- 40$ and $\frac{4}{7}$ .

$x = \frac{- 40 \cdot 4}{7}$

Multiply $- 40$ by $4$ .

$x = \frac{- 160}{7}$

Move the negative in front of the fraction.

$x = - \frac{160}{7}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{160}{7}$

Decimal Form:

$x = - 22.85714285 \dots$

Mixed Number Form:

$x = - 22 \frac{6}{7}$

Solve for x 40=x/(-4/7)

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