2-3(a-5)=-10

Solution for 2-3(a-5)=-10 equation:

Simplifying
2 + -3(a + -5) = -10

Reorder the terms:
2 + -3(-5 + a) = -10
2 + (-5 * -3 + a * -3) = -10
2 + (15 + -3a) = -10

Combine like terms: 2 + 15 = 17
17 + -3a = -10

Solving
17 + -3a = -10

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-17' to each side of the equation.
17 + -17 + -3a = -10 + -17

Combine like terms: 17 + -17 = 0
0 + -3a = -10 + -17
-3a = -10 + -17

Combine like terms: -10 + -17 = -27
-3a = -27

Divide each side by '-3'.
a = 9

Simplifying
a = 9