Solve for b 4b+6=2-b+4

$4 b + 6 = 2 - b + 4$

Step 1

Add $2$ and $4$ .

$4 b + 6 = - b + 6$

Step 2

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

Add $b$ to both sides of the equation.

$4 b + 6 + b = 6$

Add $4 b$ and $b$ .

$5 b + 6 = 6$

Step 3

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

Subtract $6$ from both sides of the equation.

$5 b = 6 - 6$

Subtract $6$ from $6$ .

$5 b = 0$

Step 4

Divide each term in $5 b = 0$ by $5$ and simplify.

Divide each term in $5 b = 0$ by $5$ .

$\frac{5 b}{5} = \frac{0}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 b}{5} = \frac{0}{5}$

Divide $b$ by $1$ .

$b = \frac{0}{5}$

Simplify the right side.

Divide $0$ by $5$ .

$b = 0$