Algebra Examples

$- 10 = - 2 + \frac{1}{2} d$

Step 1

Rewrite the equation as $- 2 + \frac{1}{2} d = - 10$ .

$- 2 + \frac{1}{2} d = - 10$

Step 2

Combine $\frac{1}{2}$ and $d$ .

$- 2 + \frac{d}{2} = - 10$

Step 3

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

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Step 3.1

Add $2$ to both sides of the equation.

$\frac{d}{2} = - 10 + 2$

Step 3.2

Add $- 10$ and $2$ .

$\frac{d}{2} = - 8$

Step 4

Multiply both sides of the equation by $2$ .

$2 \frac{d}{2} = 2 \cdot - 8$

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Cancel the common factor of $2$ .

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Step 5.1.1.1

Cancel the common factor.

$2 \frac{d}{2} = 2 \cdot - 8$

Step 5.1.1.2

Rewrite the expression.

$d = 2 \cdot - 8$

Step 5.2

Simplify the right side.

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Step 5.2.1

Multiply $2$ by $- 8$ .

$d = - 16$