Basic Math Examples

$- 5 d - 24 = - 4 (d + 6) - d$

Step 1

Since $d$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 4 (d + 6) - d = - 5 d - 24$

Step 2

Simplify $- 4 (d + 6) - d$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 4 d - 4 \cdot 6 - d = - 5 d - 24$

Step 2.1.2

Multiply $- 4$ by $6$ .

$- 4 d - 24 - d = - 5 d - 24$

Step 2.2

Subtract $d$ from $- 4 d$ .

$- 5 d - 24 = - 5 d - 24$

Step 3

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

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Step 3.1

Add $5 d$ to both sides of the equation.

$- 5 d - 24 + 5 d = - 24$

Step 3.2

Combine the opposite terms in $- 5 d - 24 + 5 d$ .

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Step 3.2.1

Add $- 5 d$ and $5 d$ .

$0 - 24 = - 24$

Step 3.2.2

Subtract $24$ from $0$ .

$- 24 = - 24$

Step 4

Since $- 24 = - 24$ , the equation will always be true for any value of $d$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$