2(1-a)=-(a+8)

Solution for 2(1-a)=-(a+8) equation:

Simplifying
2(1 + -1a) = -1(a + 8)
(1 * 2 + -1a * 2) = -1(a + 8)
(2 + -2a) = -1(a + 8)

Reorder the terms:
2 + -2a = -1(8 + a)
2 + -2a = (8 * -1 + a * -1)
2 + -2a = (-8 + -1a)

Solving
2 + -2a = -8 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
2 + -2a + a = -8 + -1a + a

Combine like terms: -2a + a = -1a
2 + -1a = -8 + -1a + a

Combine like terms: -1a + a = 0
2 + -1a = -8 + 0
2 + -1a = -8

Add '-2' to each side of the equation.
2 + -2 + -1a = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = -8 + -2
-1a = -8 + -2

Combine like terms: -8 + -2 = -10
-1a = -10

Divide each side by '-1'.
a = 10

Simplifying
a = 10