3(a-5)-2(a+1)=0

Solution for 3(a-5)-2(a+1)=0 equation:

Simplifying
3(a + -5) + -2(a + 1) = 0

Reorder the terms:
3(-5 + a) + -2(a + 1) = 0
(-5 * 3 + a * 3) + -2(a + 1) = 0
(-15 + 3a) + -2(a + 1) = 0

Reorder the terms:
-15 + 3a + -2(1 + a) = 0
-15 + 3a + (1 * -2 + a * -2) = 0
-15 + 3a + (-2 + -2a) = 0

Reorder the terms:
-15 + -2 + 3a + -2a = 0

Combine like terms: -15 + -2 = -17
-17 + 3a + -2a = 0

Combine like terms: 3a + -2a = 1a
-17 + 1a = 0

Solving
-17 + 1a = 0

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 = 0 + 17

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

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

Divide each side by '1'.
a = 17

Simplifying
a = 17