7a-1=6a+1

Solution for 7a-1=6a+1 equation:

Simplifying
7a + -1 = 6a + 1

Reorder the terms:
-1 + 7a = 6a + 1

Reorder the terms:
-1 + 7a = 1 + 6a

Solving
-1 + 7a = 1 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-1 + 7a + -6a = 1 + 6a + -6a

Combine like terms: 7a + -6a = 1a
-1 + 1a = 1 + 6a + -6a

Combine like terms: 6a + -6a = 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