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

Solution for 4(a-5)-3(1-a)=0 equation:

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

Reorder the terms:
4(-5 + a) + -3(1 + -1a) = 0
(-5 * 4 + a * 4) + -3(1 + -1a) = 0
(-20 + 4a) + -3(1 + -1a) = 0
-20 + 4a + (1 * -3 + -1a * -3) = 0
-20 + 4a + (-3 + 3a) = 0

Reorder the terms:
-20 + -3 + 4a + 3a = 0

Combine like terms: -20 + -3 = -23
-23 + 4a + 3a = 0

Combine like terms: 4a + 3a = 7a
-23 + 7a = 0

Solving
-23 + 7a = 0

Solving for variable 'a'.

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

Add '23' to each side of the equation.
-23 + 23 + 7a = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 7a = 0 + 23
7a = 0 + 23

Combine like terms: 0 + 23 = 23
7a = 23

Divide each side by '7'.
a = 3.285714286

Simplifying
a = 3.285714286