2+.5(a-1)=1

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

Simplifying
2 + 0.5(a + -1) = 1

Reorder the terms:
2 + 0.5(-1 + a) = 1
2 + (-1 * 0.5 + a * 0.5) = 1
2 + (-0.5 + 0.5a) = 1

Combine like terms: 2 + -0.5 = 1.5
1.5 + 0.5a = 1

Solving
1.5 + 0.5a = 1

Solving for variable 'a'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.5a = 1 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.5a = 1 + -1.5
0.5a = 1 + -1.5

Combine like terms: 1 + -1.5 = -0.5
0.5a = -0.5

Divide each side by '0.5'.
a = -1

Simplifying
a = -1