Answer :
Simplifying
3a + -2b = 5a + 6b
Solving
3a + -2b = 5a + 6b
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-5a' to each side of the equation.
3a + -5a + -2b = 5a + -5a + 6b
Combine like terms: 3a + -5a = -2a
-2a + -2b = 5a + -5a + 6b
Combine like terms: 5a + -5a = 0
-2a + -2b = 0 + 6b
-2a + -2b = 6b
Add '2b' to each side of the equation.
-2a + -2b + 2b = 6b + 2b
Combine like terms: -2b + 2b = 0
-2a + 0 = 6b + 2b
-2a = 6b + 2b
Combine like terms: 6b + 2b = 8b
-2a = 8b
Divide each side by '-2'.
a = -4b
Simplifying
a = -4b