5a-7=a+6

Solution for 5a-7=a+6 equation:

Simplifying
5a + -7 = a + 6

Reorder the terms:
-7 + 5a = a + 6

Reorder the terms:
-7 + 5a = 6 + a

Solving
-7 + 5a = 6 + 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.
-7 + 5a + -1a = 6 + a + -1a

Combine like terms: 5a + -1a = 4a
-7 + 4a = 6 + a + -1a

Combine like terms: a + -1a = 0
-7 + 4a = 6 + 0
-7 + 4a = 6

Add '7' to each side of the equation.
-7 + 7 + 4a = 6 + 7

Combine like terms: -7 + 7 = 0
0 + 4a = 6 + 7
4a = 6 + 7

Combine like terms: 6 + 7 = 13
4a = 13

Divide each side by '4'.
a = 3.25

Simplifying
a = 3.25