Solve for x -4=(7x-(-1))/-8

$- 4 = \frac{7 x - (- 1)}{- 8}$

Rewrite the equation as $\frac{7 x - (- 1)}{- 8} = - 4$ .

$\frac{7 x - (- 1)}{- 8} = - 4$

Multiply both sides by $- 8$ .

$\frac{7 x - (- 1)}{- 8} \cdot - 8 = - 4 \cdot - 8$

Simplify.

Simplify the left side.

Simplify $\frac{7 x - (- 1)}{- 8} \cdot - 8$ .

Multiply $- 1$ by $- 1$ .

$\frac{7 x + 1}{- 8} \cdot - 8 = - 4 \cdot - 8$

Cancel the common factor of $8$ .

Factor $8$ out of $- 8$ .

$\frac{7 x + 1}{8 (- 1)} \cdot - 8 = - 4 \cdot - 8$

Factor $8$ out of $- 8$ .

$\frac{7 x + 1}{8 \cdot - 1} \cdot (8 \cdot - 1) = - 4 \cdot - 8$

Cancel the common factor.

$\frac{7 x + 1}{8 \cdot - 1} \cdot (8 \cdot - 1) = - 4 \cdot - 8$

Rewrite the expression.

$\frac{7 x + 1}{- 1} \cdot - 1 = - 4 \cdot - 8$

Combine $\frac{7 x + 1}{- 1}$ and $- 1$ .

$\frac{(7 x + 1) \cdot - 1}{- 1} = - 4 \cdot - 8$

Simplify the expression.

Move the negative one from the denominator of $\frac{(7 x + 1) \cdot - 1}{- 1}$ .

$- 1 \cdot ((7 x + 1) \cdot - 1) = - 4 \cdot - 8$

Rewrite $- 1 \cdot ((7 x + 1) \cdot - 1)$ as $- ((7 x + 1) \cdot - 1)$ .

$- ((7 x + 1) \cdot - 1) = - 4 \cdot - 8$

Apply the distributive property.

$- (7 x \cdot - 1 + 1 \cdot - 1) = - 4 \cdot - 8$

Multiply.

Multiply $- 1$ by $7$ .

$- (- 7 x + 1 \cdot - 1) = - 4 \cdot - 8$

Multiply $- 1$ by $1$ .

$- (- 7 x - 1) = - 4 \cdot - 8$

Apply the distributive property.

$- (- 7 x) - - 1 = - 4 \cdot - 8$

Multiply.

Multiply $- 7$ by $- 1$ .

$7 x - - 1 = - 4 \cdot - 8$

Multiply $- 1$ by $- 1$ .

$7 x + 1 = - 4 \cdot - 8$

Simplify the right side.

Multiply $- 4$ by $- 8$ .

$7 x + 1 = 32$

Solve for $x$ .

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

Subtract $1$ from both sides of the equation.

$7 x = 32 - 1$

Subtract $1$ from $32$ .

$7 x = 31$

Divide each term in $7 x = 31$ by $7$ and simplify.

Divide each term in $7 x = 31$ by $7$ .

$\frac{7 x}{7} = \frac{31}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{31}{7}$

Divide $x$ by $1$ .

$x = \frac{31}{7}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{31}{7}$

Decimal Form:

$x = 4.\overline{428571}$

Mixed Number Form:

$x = 4 \frac{3}{7}$

Solve for x -4=(7x-(-1))/-8

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