2(3b-2a)+4(b-2a)=0

Solution for 2(3b-2a)+4(b-2a)=0 equation:

Simplifying
2(3b + -2a) + 4(b + -2a) = 0

Reorder the terms:
2(-2a + 3b) + 4(b + -2a) = 0
(-2a * 2 + 3b * 2) + 4(b + -2a) = 0
(-4a + 6b) + 4(b + -2a) = 0

Reorder the terms:
-4a + 6b + 4(-2a + b) = 0
-4a + 6b + (-2a * 4 + b * 4) = 0
-4a + 6b + (-8a + 4b) = 0

Reorder the terms:
-4a + -8a + 6b + 4b = 0

Combine like terms: -4a + -8a = -12a
-12a + 6b + 4b = 0

Combine like terms: 6b + 4b = 10b
-12a + 10b = 0

Solving
-12a + 10b = 0

Solving for variable 'a'.

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

Add '-10b' to each side of the equation.
-12a + 10b + -10b = 0 + -10b

Combine like terms: 10b + -10b = 0
-12a + 0 = 0 + -10b
-12a = 0 + -10b
Remove the zero:
-12a = -10b

Divide each side by '-12'.
a = 0.8333333333b

Simplifying
a = 0.8333333333b