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

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

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

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

Reorder the terms:
-15 + 3a + -2(-1 + 2a) = 0
-15 + 3a + (-1 * -2 + 2a * -2) = 0
-15 + 3a + (2 + -4a) = 0

Reorder the terms:
-15 + 2 + 3a + -4a = 0

Combine like terms: -15 + 2 = -13
-13 + 3a + -4a = 0

Combine like terms: 3a + -4a = -1a
-13 + -1a = 0

Solving
-13 + -1a = 0

Solving for variable 'a'.

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

Add '13' to each side of the equation.
-13 + 13 + -1a = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1a = 0 + 13
-1a = 0 + 13

Combine like terms: 0 + 13 = 13
-1a = 13

Divide each side by '-1'.
a = -13

Simplifying
a = -13