Pre-Algebra Examples

- \frac{x}{7} - 4 = 5

$- \frac{x}{7} - 4 = 5$

Step 1

Move all terms not containing

x

$x$ to the right side of the equation.

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Step 1.1

Add

4

$4$ to both sides of the equation.

- \frac{x}{7} = 5 + 4

$- \frac{x}{7} = 5 + 4$

Step 1.2

Add

5

$5$ and

4

$4$ .

- \frac{x}{7} = 9

$- \frac{x}{7} = 9$

- \frac{x}{7} = 9

$- \frac{x}{7} = 9$

Step 2

Multiply both sides of the equation by

- 7

$- 7$ .

- 7 (- \frac{x}{7}) = - 7 \cdot 9

$- 7 (- \frac{x}{7}) = - 7 \cdot 9$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify

- 7 (- \frac{x}{7})

$- 7 (- \frac{x}{7})$ .

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Step 3.1.1.1

Cancel the common factor of

7

$7$ .

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Step 3.1.1.1.1

Move the leading negative in

- \frac{x}{7}

$- \frac{x}{7}$ into the numerator.

- 7 \frac{- x}{7} = - 7 \cdot 9

$- 7 \frac{- x}{7} = - 7 \cdot 9$

Step 3.1.1.1.2

Factor

7

$7$ out of

- 7

$- 7$ .

7 (- 1) \frac{- x}{7} = - 7 \cdot 9

$7 (- 1) \frac{- x}{7} = - 7 \cdot 9$

Step 3.1.1.1.3

Cancel the common factor.

$7 \cdot - 1 \frac{- x}{7} = - 7 \cdot 9$

Step 3.1.1.1.4

Rewrite the expression.

$- - x = - 7 \cdot 9$

$- - x = - 7 \cdot 9$

Step 3.1.1.2

Multiply.

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Step 3.1.1.2.1

Multiply

$- 1$ by

$- 1$ .

$1 x = - 7 \cdot 9$

Step 3.1.1.2.2

Multiply

$x$ by

$1$ .

$x = - 7 \cdot 9$

$x = - 7 \cdot 9$

$x = - 7 \cdot 9$

$x = - 7 \cdot 9$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply

$- 7$ by

$9$ .

$x = - 63$

$x = - 63$

$x = - 63$

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