2(5a-10)-9a+6=0

Solution for 2(5a-10)-9a+6=0 equation:

Simplifying
2(5a + -10) + -9a + 6 = 0

Reorder the terms:
2(-10 + 5a) + -9a + 6 = 0
(-10 * 2 + 5a * 2) + -9a + 6 = 0
(-20 + 10a) + -9a + 6 = 0

Reorder the terms:
-20 + 6 + 10a + -9a = 0

Combine like terms: -20 + 6 = -14
-14 + 10a + -9a = 0

Combine like terms: 10a + -9a = 1a
-14 + 1a = 0

Solving
-14 + 1a = 0

Solving for variable 'a'.

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

Add '14' to each side of the equation.
-14 + 14 + 1a = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 1a = 0 + 14
1a = 0 + 14

Combine like terms: 0 + 14 = 14
1a = 14

Divide each side by '1'.
a = 14

Simplifying
a = 14