Algebra Examples

$- 18 + j = 20 - j$

Step 1

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

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Step 1.1

Add $j$ to both sides of the equation.

$- 18 + j + j = 20$

Step 1.2

Add $j$ and $j$ .

$- 18 + 2 j = 20$

Step 2

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

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Step 2.1

Add $18$ to both sides of the equation.

$2 j = 20 + 18$

Step 2.2

Add $20$ and $18$ .

$2 j = 38$

Step 3

Divide each term in $2 j = 38$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 j = 38$ by $2$ .

$\frac{2 j}{2} = \frac{38}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 j}{2} = \frac{38}{2}$

Step 3.2.1.2

Divide $j$ by $1$ .

$j = \frac{38}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $38$ by $2$ .

$j = 19$