Solve for a 7(2a-3)-5a=-3

$7 (2 a - 3) - 5 a = - 3$

Simplify $7 (2 a - 3) - 5 a$ .

Simplify each term.

Apply the distributive property.

$7 (2 a) + 7 \cdot - 3 - 5 a = - 3$

Multiply $2$ by $7$ .

$14 a + 7 \cdot - 3 - 5 a = - 3$

Multiply $7$ by $- 3$ .

$14 a - 21 - 5 a = - 3$

Subtract $5 a$ from $14 a$ .

$9 a - 21 = - 3$

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

Add $21$ to both sides of the equation.

$9 a = - 3 + 21$

Add $- 3$ and $21$ .

$9 a = 18$

Divide each term in $9 a = 18$ by $9$ and simplify.

Divide each term in $9 a = 18$ by $9$ .

$\frac{9 a}{9} = \frac{18}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 a}{9} = \frac{18}{9}$

Divide $a$ by $1$ .

$a = \frac{18}{9}$

Simplify the right side.

Divide $18$ by $9$ .

$a = 2$