Solve for a 6a-6=2a+14

$6 a - 6 = 2 a + 14$

Step 1

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

Subtract $2 a$ from both sides of the equation.

$6 a - 6 - 2 a = 14$

Subtract $2 a$ from $6 a$ .

$4 a - 6 = 14$

Step 2

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

Add $6$ to both sides of the equation.

$4 a = 14 + 6$

Add $14$ and $6$ .

$4 a = 20$

Step 3

Divide each term in $4 a = 20$ by $4$ and simplify.

Divide each term in $4 a = 20$ by $4$ .

$\frac{4 a}{4} = \frac{20}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 a}{4} = \frac{20}{4}$

Divide $a$ by $1$ .

$a = \frac{20}{4}$

Simplify the right side.

Divide $20$ by $4$ .

$a = 5$