Algebra Examples

$9 d + 2 d + 3 d - 4 = 5 d$

Step 1

Simplify $9 d + 2 d + 3 d - 4$ .

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Step 1.1

Add $9 d$ and $2 d$ .

$11 d + 3 d - 4 = 5 d$

Step 1.2

Add $11 d$ and $3 d$ .

$14 d - 4 = 5 d$

Step 2

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

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Step 2.1

Subtract $5 d$ from both sides of the equation.

$14 d - 4 - 5 d = 0$

Step 2.2

Subtract $5 d$ from $14 d$ .

$9 d - 4 = 0$

Step 3

Add $4$ to both sides of the equation.

$9 d = 4$

Step 4

Divide each term in $9 d = 4$ by $9$ and simplify.

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Step 4.1

Divide each term in $9 d = 4$ by $9$ .

$\frac{9 d}{9} = \frac{4}{9}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $9$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{9 d}{9} = \frac{4}{9}$

Step 4.2.1.2

Divide $d$ by $1$ .

$d = \frac{4}{9}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$d = \frac{4}{9}$

Decimal Form:

$d = 0.\overline{4}$