2a-6+5a=3a+10a

Solution for 2a-6+5a=3a+10a equation:

Simplifying
2a + -6 + 5a = 3a + 10a

Reorder the terms:
-6 + 2a + 5a = 3a + 10a

Combine like terms: 2a + 5a = 7a
-6 + 7a = 3a + 10a

Combine like terms: 3a + 10a = 13a
-6 + 7a = 13a

Solving
-6 + 7a = 13a

Solving for variable 'a'.

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

Add '-13a' to each side of the equation.
-6 + 7a + -13a = 13a + -13a

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

Combine like terms: 13a + -13a = 0
-6 + -6a = 0

Add '6' to each side of the equation.
-6 + 6 + -6a = 0 + 6

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

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

Divide each side by '-6'.
a = -1

Simplifying
a = -1