3(a-5)-4a-2=10

Solution for 3(a-5)-4a-2=10 equation:

Simplifying
3(a + -5) + -4a + -2 = 10

Reorder the terms:
3(-5 + a) + -4a + -2 = 10
(-5 * 3 + a * 3) + -4a + -2 = 10
(-15 + 3a) + -4a + -2 = 10

Reorder the terms:
-15 + -2 + 3a + -4a = 10

Combine like terms: -15 + -2 = -17
-17 + 3a + -4a = 10

Combine like terms: 3a + -4a = -1a
-17 + -1a = 10

Solving
-17 + -1a = 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 + -1a = 10 + 17

Combine like terms: -17 + 17 = 0
0 + -1a = 10 + 17
-1a = 10 + 17

Combine like terms: 10 + 17 = 27
-1a = 27

Divide each side by '-1'.
a = -27

Simplifying
a = -27