Algebra Examples

$- 3 - 9 j = - 2 j - 10$

Step 1

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

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Step 1.1

Add $2 j$ to both sides of the equation.

$- 3 - 9 j + 2 j = - 10$

Step 1.2

Add $- 9 j$ and $2 j$ .

$- 3 - 7 j = - 10$

Step 2

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

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Step 2.1

Add $3$ to both sides of the equation.

$- 7 j = - 10 + 3$

Step 2.2

Add $- 10$ and $3$ .

$- 7 j = - 7$

Step 3

Divide each term in $- 7 j = - 7$ by $- 7$ and simplify.

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Step 3.1

Divide each term in $- 7 j = - 7$ by $- 7$ .

$\frac{- 7 j}{- 7} = \frac{- 7}{- 7}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 7$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 7 j}{- 7} = \frac{- 7}{- 7}$

Step 3.2.1.2

Divide $j$ by $1$ .

$j = \frac{- 7}{- 7}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 7$ by $- 7$ .

$j = 1$