Algebra Examples

$12 + (- 4) - \frac{2}{5} j - \frac{4}{5} j + 5$

Step 1

Remove parentheses.

$12 - 4 - \frac{2}{5} j - \frac{4}{5} j + 5$

Step 2

Simplify each term.

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Step 2.1

Combine $j$ and $\frac{2}{5}$ .

$12 - 4 - \frac{j \cdot 2}{5} - \frac{4}{5} j + 5$

Step 2.2

Move $2$ to the left of $j$ .

$12 - 4 - \frac{2 \cdot j}{5} - \frac{4}{5} j + 5$

Step 2.3

Combine $j$ and $\frac{4}{5}$ .

$12 - 4 - \frac{2 j}{5} - \frac{j \cdot 4}{5} + 5$

Step 2.4

Move $4$ to the left of $j$ .

$12 - 4 - \frac{2 j}{5} - \frac{4 j}{5} + 5$

Step 3

Simplify terms.

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Step 3.1

Combine the numerators over the common denominator.

$12 - 4 + 5 + \frac{- 2 j - 4 j}{5}$

Step 3.2

Subtract $4 j$ from $- 2 j$ .

$12 - 4 + 5 + \frac{- 6 j}{5}$

Step 3.3

Simplify the expression.

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Step 3.3.1

Move the negative in front of the fraction.

$12 - 4 + 5 - \frac{6 j}{5}$

Step 3.3.2

Subtract $4$ from $12$ .

$8 + 5 - \frac{6 j}{5}$

Step 3.3.3

Add $8$ and $5$ .

$13 - \frac{6 j}{5}$