2a-6+5a=30+10a

Solution for 2a-6+5a=30+10a equation:

Simplifying
2a + -6 + 5a = 30 + 10a

Reorder the terms:
-6 + 2a + 5a = 30 + 10a

Combine like terms: 2a + 5a = 7a
-6 + 7a = 30 + 10a

Solving
-6 + 7a = 30 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
-6 + 7a + -10a = 30 + 10a + -10a

Combine like terms: 7a + -10a = -3a
-6 + -3a = 30 + 10a + -10a

Combine like terms: 10a + -10a = 0
-6 + -3a = 30 + 0
-6 + -3a = 30

Add '6' to each side of the equation.
-6 + 6 + -3a = 30 + 6

Combine like terms: -6 + 6 = 0
0 + -3a = 30 + 6
-3a = 30 + 6

Combine like terms: 30 + 6 = 36
-3a = 36

Divide each side by '-3'.
a = -12

Simplifying
a = -12