Finite Math Examples

$2 n + 2.5 = 4 (n + 2) - n$

Step 1

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

$4 (n + 2) - n = 2 n + 2.5$

Step 2

Simplify $4 (n + 2) - n$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$4 n + 4 \cdot 2 - n = 2 n + 2.5$

Step 2.1.2

Multiply $4$ by $2$ .

$4 n + 8 - n = 2 n + 2.5$

Step 2.2

Subtract $n$ from $4 n$ .

$3 n + 8 = 2 n + 2.5$

Step 3

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

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Step 3.1

Subtract $2 n$ from both sides of the equation.

$3 n + 8 - 2 n = 2.5$

Step 3.2

Subtract $2 n$ from $3 n$ .

$n + 8 = 2.5$

Step 4

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

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Step 4.1

Subtract $8$ from both sides of the equation.

$n = 2.5 - 8$

Step 4.2

Subtract $8$ from $2.5$ .

$n = - 5.5$