Pre-Algebra Examples

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

Step 1

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

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Step 1.1

Add $4$ to both sides of the equation.

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

Step 1.2

Add $5$ and $4$ .

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

Step 2

Multiply both sides of the equation by $- 7$ .

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

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

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Step 3.1.1.1

Cancel the common factor of $7$ .

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Step 3.1.1.1.1

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

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

Step 3.1.1.1.2

Factor $7$ out of $- 7$ .

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

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.

$- - x = - 7 \cdot 9$

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 $1$ .

$x = - 7 \cdot 9$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 7$ by $9$ .

$x = - 63$