Solve for a 3(a+2)+5=2a+4

$3 (a + 2) + 5 = 2 a + 4$

Step 1

Simplify $3 (a + 2) + 5$ .

Simplify each term.

Apply the distributive property.

$3 a + 3 \cdot 2 + 5 = 2 a + 4$

Multiply $3$ by $2$ .

$3 a + 6 + 5 = 2 a + 4$

Add $6$ and $5$ .

$3 a + 11 = 2 a + 4$

Step 2

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

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

$3 a + 11 - 2 a = 4$

Subtract $2 a$ from $3 a$ .

$a + 11 = 4$

Step 3

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

Subtract $11$ from both sides of the equation.

$a = 4 - 11$

Subtract $11$ from $4$ .

$a = - 7$