6-2(3a-5b)=

Solution for 6-2(3a-5b)= equation:

Simplifying
6 + -2(3a + -5b) = 0
6 + (3a * -2 + -5b * -2) = 0
6 + (-6a + 10b) = 0

Solving
6 + -6a + 10b = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6a + -6 + 10b = 0 + -6

Reorder the terms:
6 + -6 + -6a + 10b = 0 + -6

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

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

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

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

Divide each side by '-6'.
a = 1 + 1.666666667b

Simplifying
a = 1 + 1.666666667b