Basic Math Examples

$5 (2 d + 1) - 5 = 3 (d + 1)$

Step 1

Simplify $5 (2 d + 1) - 5$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$5 (2 d) + 5 \cdot 1 - 5 = 3 (d + 1)$

Step 1.1.2

Multiply $2$ by $5$ .

$10 d + 5 \cdot 1 - 5 = 3 (d + 1)$

Step 1.1.3

Multiply $5$ by $1$ .

$10 d + 5 - 5 = 3 (d + 1)$

$10 d + 5 - 5 = 3 (d + 1)$

Step 1.2

Combine the opposite terms in $10 d + 5 - 5$ .

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Step 1.2.1

Subtract $5$ from $5$ .

$10 d + 0 = 3 (d + 1)$

Step 1.2.2

Add $10 d$ and $0$ .

$10 d = 3 (d + 1)$

$10 d = 3 (d + 1)$

$10 d = 3 (d + 1)$

Step 2

Simplify $3 (d + 1)$ .

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Step 2.1

Apply the distributive property.

$10 d = 3 d + 3 \cdot 1$

Step 2.2

Multiply $3$ by $1$ .

$10 d = 3 d + 3$

$10 d = 3 d + 3$

Step 3

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

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Step 3.1

Subtract $3 d$ from both sides of the equation.

$10 d - 3 d = 3$

Step 3.2

Subtract $3 d$ from $10 d$ .

$7 d = 3$

$7 d = 3$

Step 4

Divide each term in $7 d = 3$ by $7$ and simplify.

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Step 4.1

Divide each term in $7 d = 3$ by $7$ .

$\frac{7 d}{7} = \frac{3}{7}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $7$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{7 d}{7} = \frac{3}{7}$

Step 4.2.1.2

Divide $d$ by $1$ .

$d = \frac{3}{7}$

$d = \frac{3}{7}$

$d = \frac{3}{7}$

$d = \frac{3}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$d = \frac{3}{7}$

Decimal Form:

$d = 0.\overline{428571}$

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