3(a-1)=a+1

Solution for 3(a-1)=a+1 equation:

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

Reorder the terms:
3(-1 + a) = a + 1
(-1 * 3 + a * 3) = a + 1
(-3 + 3a) = a + 1

Reorder the terms:
-3 + 3a = 1 + a

Solving
-3 + 3a = 1 + 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.
-3 + 3a + -1a = 1 + a + -1a

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

Combine like terms: a + -1a = 0
-3 + 2a = 1 + 0
-3 + 2a = 1

Add '3' to each side of the equation.
-3 + 3 + 2a = 1 + 3

Combine like terms: -3 + 3 = 0
0 + 2a = 1 + 3
2a = 1 + 3

Combine like terms: 1 + 3 = 4
2a = 4

Divide each side by '2'.
a = 2

Simplifying
a = 2