8a+5(1-a)=4a-6

Solution for 8a+5(1-a)=4a-6 equation:

Simplifying
8a + 5(1 + -1a) = 4a + -6
8a + (1 * 5 + -1a * 5) = 4a + -6
8a + (5 + -5a) = 4a + -6

Reorder the terms:
5 + 8a + -5a = 4a + -6

Combine like terms: 8a + -5a = 3a
5 + 3a = 4a + -6

Reorder the terms:
5 + 3a = -6 + 4a

Solving
5 + 3a = -6 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
5 + 3a + -4a = -6 + 4a + -4a

Combine like terms: 3a + -4a = -1a
5 + -1a = -6 + 4a + -4a

Combine like terms: 4a + -4a = 0
5 + -1a = -6 + 0
5 + -1a = -6

Add '-5' to each side of the equation.
5 + -5 + -1a = -6 + -5

Combine like terms: 5 + -5 = 0
0 + -1a = -6 + -5
-1a = -6 + -5

Combine like terms: -6 + -5 = -11
-1a = -11

Divide each side by '-1'.
a = 11

Simplifying
a = 11