.9-2(a-1)=5+a

Solution for .9-2(a-1)=5+a equation:

Simplifying
0.9 + -2(a + -1) = 5 + a

Reorder the terms:
0.9 + -2(-1 + a) = 5 + a
0.9 + (-1 * -2 + a * -2) = 5 + a
0.9 + (2 + -2a) = 5 + a

Combine like terms: 0.9 + 2 = 2.9
2.9 + -2a = 5 + a

Solving
2.9 + -2a = 5 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
2.9 + -2a + -1a = 5 + a + -1a

Combine like terms: -2a + -1a = -3a
2.9 + -3a = 5 + a + -1a

Combine like terms: a + -1a = 0
2.9 + -3a = 5 + 0
2.9 + -3a = 5

Add '-2.9' to each side of the equation.
2.9 + -2.9 + -3a = 5 + -2.9

Combine like terms: 2.9 + -2.9 = 0.0
0.0 + -3a = 5 + -2.9
-3a = 5 + -2.9

Combine like terms: 5 + -2.9 = 2.1
-3a = 2.1

Divide each side by '-3'.
a = -0.7

Simplifying
a = -0.7