Basic Math Examples

$\frac{d}{7} = 12 + d$

Step 1

Multiply both sides by $7$ .

$\frac{d}{7} \cdot 7 = (12 + d) \cdot 7$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $7$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{d}{7} \cdot 7 = (12 + d) \cdot 7$

Step 2.1.1.2

Rewrite the expression.

$d = (12 + d) \cdot 7$

$d = (12 + d) \cdot 7$

$d = (12 + d) \cdot 7$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $(12 + d) \cdot 7$ .

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Step 2.2.1.1

Apply the distributive property.

$d = 12 \cdot 7 + d \cdot 7$

Step 2.2.1.2

Simplify the expression.

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Step 2.2.1.2.1

Multiply $12$ by $7$ .

$d = 84 + d \cdot 7$

Step 2.2.1.2.2

Move $7$ to the left of $d$ .

$d = 84 + 7 \cdot d$

Step 2.2.1.2.3

Reorder $84$ and $7 d$ .

$d = 7 d + 84$

$d = 7 d + 84$

$d = 7 d + 84$

$d = 7 d + 84$

$d = 7 d + 84$

Step 3

Solve for $d$ .

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Step 3.1

Move all terms containing $d$ to the left side of the equation.

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Step 3.1.1

Subtract $7 d$ from both sides of the equation.

$d - 7 d = 84$

Step 3.1.2

Subtract $7 d$ from $d$ .

$- 6 d = 84$

$- 6 d = 84$

Step 3.2

Divide each term in $- 6 d = 84$ by $- 6$ and simplify.

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Step 3.2.1

Divide each term in $- 6 d = 84$ by $- 6$ .

$\frac{- 6 d}{- 6} = \frac{84}{- 6}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $- 6$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{- 6 d}{- 6} = \frac{84}{- 6}$

Step 3.2.2.1.2

Divide $d$ by $1$ .

$d = \frac{84}{- 6}$

$d = \frac{84}{- 6}$

$d = \frac{84}{- 6}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $84$ by $- 6$ .

$d = - 14$

$d = - 14$

$d = - 14$

$d = - 14$

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