Algebra Examples

\frac{x}{- 4} - 5 = - 8

$\frac{x}{- 4} - 5 = - 8$

Step 1

Move the negative in front of the fraction.

- \frac{x}{4} - 5 = - 8

$- \frac{x}{4} - 5 = - 8$

Step 2

Move all terms not containing

x

$x$ to the right side of the equation.

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Step 2.1

Add

5

$5$ to both sides of the equation.

- \frac{x}{4} = - 8 + 5

$- \frac{x}{4} = - 8 + 5$

Step 2.2

Add

- 8

$- 8$ and

5

$5$ .

- \frac{x}{4} = - 3

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

- \frac{x}{4} = - 3

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

Step 3

Multiply both sides of the equation by

- 4

$- 4$ .

- 4 (- \frac{x}{4}) = - 4 \cdot - 3

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

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify

- 4 (- \frac{x}{4})

$- 4 (- \frac{x}{4})$ .

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Step 4.1.1.1

Cancel the common factor of

4

$4$ .

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Step 4.1.1.1.1

Move the leading negative in

- \frac{x}{4}

$- \frac{x}{4}$ into the numerator.

- 4 \frac{- x}{4} = - 4 \cdot - 3

$- 4 \frac{- x}{4} = - 4 \cdot - 3$

Step 4.1.1.1.2

Factor

4

$4$ out of

- 4

$- 4$ .

4 (- 1) \frac{- x}{4} = - 4 \cdot - 3

$4 (- 1) \frac{- x}{4} = - 4 \cdot - 3$

Step 4.1.1.1.3

Cancel the common factor.

$4 \cdot - 1 \frac{- x}{4} = - 4 \cdot - 3$

Step 4.1.1.1.4

Rewrite the expression.

$- - x = - 4 \cdot - 3$

$- - x = - 4 \cdot - 3$

Step 4.1.1.2

Multiply.

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Step 4.1.1.2.1

Multiply

$- 1$ by

$- 1$ .

$1 x = - 4 \cdot - 3$

Step 4.1.1.2.2

Multiply

$x$ by

$1$ .

$x = - 4 \cdot - 3$

$x = - 4 \cdot - 3$

$x = - 4 \cdot - 3$

$x = - 4 \cdot - 3$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply

$- 4$ by

$- 3$ .

$x = 12$

$x = 12$

$x = 12$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$