Solve for a -3+5a=4a-10

$- 3 + 5 a = 4 a - 10$

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

Subtract $4 a$ from both sides of the equation.

$- 3 + 5 a - 4 a = - 10$

Subtract $4 a$ from $5 a$ .

$- 3 + a = - 10$

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

Add $3$ to both sides of the equation.

$a = - 10 + 3$

Add $- 10$ and $3$ .

$a = - 7$