2a-6+5a=3-a+7

Solution for 2a-6+5a=3-a+7 equation:

Simplifying
2a + -6 + 5a = 3 + -1a + 7

Reorder the terms:
-6 + 2a + 5a = 3 + -1a + 7

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

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

Combine like terms: 3 + 7 = 10
-6 + 7a = 10 + -1a

Solving
-6 + 7a = 10 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-6 + 7a + a = 10 + -1a + a

Combine like terms: 7a + a = 8a
-6 + 8a = 10 + -1a + a

Combine like terms: -1a + a = 0
-6 + 8a = 10 + 0
-6 + 8a = 10

Add '6' to each side of the equation.
-6 + 6 + 8a = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 8a = 10 + 6
8a = 10 + 6

Combine like terms: 10 + 6 = 16
8a = 16

Divide each side by '8'.
a = 2

Simplifying
a = 2