Solve for j 10j+16=8j+20

$10 j + 16 = 8 j + 20$

Step 1

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

Subtract $8 j$ from both sides of the equation.

$10 j + 16 - 8 j = 20$

Subtract $8 j$ from $10 j$ .

$2 j + 16 = 20$

Step 2

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

Subtract $16$ from both sides of the equation.

$2 j = 20 - 16$

Subtract $16$ from $20$ .

$2 j = 4$

Step 3

Divide each term in $2 j = 4$ by $2$ and simplify.

Divide each term in $2 j = 4$ by $2$ .

$\frac{2 j}{2} = \frac{4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 j}{2} = \frac{4}{2}$

Divide $j$ by $1$ .

$j = \frac{4}{2}$

Simplify the right side.

Divide $4$ by $2$ .

$j = 2$