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

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

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

Reorder the terms:
3(-2 + 5a) + -2(3 + -2a) + a + -3 = 0
(-2 * 3 + 5a * 3) + -2(3 + -2a) + a + -3 = 0
(-6 + 15a) + -2(3 + -2a) + a + -3 = 0
-6 + 15a + (3 * -2 + -2a * -2) + a + -3 = 0
-6 + 15a + (-6 + 4a) + a + -3 = 0

Reorder the terms:
-6 + -6 + -3 + 15a + 4a + a = 0

Combine like terms: -6 + -6 = -12
-12 + -3 + 15a + 4a + a = 0

Combine like terms: -12 + -3 = -15
-15 + 15a + 4a + a = 0

Combine like terms: 15a + 4a = 19a
-15 + 19a + a = 0

Combine like terms: 19a + a = 20a
-15 + 20a = 0

Solving
-15 + 20a = 0

Solving for variable 'a'.

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

Add '15' to each side of the equation.
-15 + 15 + 20a = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 20a = 0 + 15
20a = 0 + 15

Combine like terms: 0 + 15 = 15
20a = 15

Divide each side by '20'.
a = 0.75

Simplifying
a = 0.75