Solve for a a+5=-5a+5

$a + 5 = - 5 a + 5$

Step 1

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

Add $5 a$ to both sides of the equation.

$a + 5 + 5 a = 5$

Add $a$ and $5 a$ .

$6 a + 5 = 5$

Step 2

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

Subtract $5$ from both sides of the equation.

$6 a = 5 - 5$

Subtract $5$ from $5$ .

$6 a = 0$

Step 3

Divide each term in $6 a = 0$ by $6$ and simplify.

Divide each term in $6 a = 0$ by $6$ .

$\frac{6 a}{6} = \frac{0}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 a}{6} = \frac{0}{6}$

Divide $a$ by $1$ .

$a = \frac{0}{6}$

Simplify the right side.

Divide $0$ by $6$ .

$a = 0$