2a-6+5a=3a+1

Solution for 2a-6+5a=3a+1 equation:

Simplifying
2a + -6 + 5a = 3a + 1

Reorder the terms:
-6 + 2a + 5a = 3a + 1

Combine like terms: 2a + 5a = 7a
-6 + 7a = 3a + 1

Reorder the terms:
-6 + 7a = 1 + 3a

Solving
-6 + 7a = 1 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-6 + 7a + -3a = 1 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-6 + 4a = 1 + 3a + -3a

Combine like terms: 3a + -3a = 0
-6 + 4a = 1 + 0
-6 + 4a = 1

Add '6' to each side of the equation.
-6 + 6 + 4a = 1 + 6

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

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

Divide each side by '4'.
a = 1.75

Simplifying
a = 1.75