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

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

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

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

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

Solving
-2 + 2a = 1 + 1a

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 + 2a + -1a = 1 + 1a + -1a

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

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

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

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

Combine like terms: 1 + 2 = 3
1a = 3

Divide each side by '1'.
a = 3

Simplifying
a = 3