2a-1=a+1

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

Simplifying
2a + -1 = a + 1

Reorder the terms:
-1 + 2a = a + 1

Reorder the terms:
-1 + 2a = 1 + a

Solving
-1 + 2a = 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.
-1 + 2a + -1a = 1 + a + -1a

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

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

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

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

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

Divide each side by '1'.
a = 2

Simplifying
a = 2