Finite Math Examples

$\frac{2}{5} j + 3 = - \frac{3}{5} j$

Step 1

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

$\frac{2 j}{5} + 3 = - \frac{3}{5} j$

Step 2

Simplify $- \frac{3}{5} j$ .

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Step 2.1

Combine $j$ and $\frac{3}{5}$ .

$\frac{2 j}{5} + 3 = - \frac{j \cdot 3}{5}$

Step 2.2

Move $3$ to the left of $j$ .

$\frac{2 j}{5} + 3 = - \frac{3 j}{5}$

Step 3

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

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Step 3.1

Add $\frac{3 j}{5}$ to both sides of the equation.

$\frac{2 j}{5} + 3 + \frac{3 j}{5} = 0$

Step 3.2

Combine the numerators over the common denominator.

$3 + \frac{2 j + 3 j}{5} = 0$

Step 3.3

Add $2 j$ and $3 j$ .

$3 + \frac{5 j}{5} = 0$

Step 3.4

Cancel the common factor of $5$ .

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Step 3.4.1

Cancel the common factor.

$3 + \frac{5 j}{5} = 0$

Step 3.4.2

Divide $j$ by $1$ .

$3 + j = 0$

Step 4

Subtract $3$ from both sides of the equation.

$j = - 3$