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

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

Simplifying
3(4 + -1a) + -2(-5a + 3) = 0
(4 * 3 + -1a * 3) + -2(-5a + 3) = 0
(12 + -3a) + -2(-5a + 3) = 0

Reorder the terms:
12 + -3a + -2(3 + -5a) = 0
12 + -3a + (3 * -2 + -5a * -2) = 0
12 + -3a + (-6 + 10a) = 0

Reorder the terms:
12 + -6 + -3a + 10a = 0

Combine like terms: 12 + -6 = 6
6 + -3a + 10a = 0

Combine like terms: -3a + 10a = 7a
6 + 7a = 0

Solving
6 + 7a = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 7a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7a = 0 + -6
7a = 0 + -6

Combine like terms: 0 + -6 = -6
7a = -6

Divide each side by '7'.
a = -0.8571428571

Simplifying
a = -0.8571428571