Solve for a 3+2a-8-5=25+3

$3 + 2 a - 8 - 5 = 25 + 3$

Step 1

Simplify $3 + 2 a - 8 - 5$ .

Subtract $8$ from $3$ .

$2 a - 5 - 5 = 25 + 3$

Subtract $5$ from $- 5$ .

$2 a - 10 = 25 + 3$

Step 2

Add $25$ and $3$ .

$2 a - 10 = 28$

Step 3

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

Add $10$ to both sides of the equation.

$2 a = 28 + 10$

Add $28$ and $10$ .

$2 a = 38$

Step 4

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $a$ by $1$ .

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

Simplify the right side.

Divide $38$ by $2$ .

$a = 19$