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

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

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

Reorder the terms:
2a + 2b + 3(-4a + 2b) = 0
2a + 2b + (-4a * 3 + 2b * 3) = 0
2a + 2b + (-12a + 6b) = 0

Reorder the terms:
2a + -12a + 2b + 6b = 0

Combine like terms: 2a + -12a = -10a
-10a + 2b + 6b = 0

Combine like terms: 2b + 6b = 8b
-10a + 8b = 0

Solving
-10a + 8b = 0

Solving for variable 'a'.

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

Add '-8b' to each side of the equation.
-10a + 8b + -8b = 0 + -8b

Combine like terms: 8b + -8b = 0
-10a + 0 = 0 + -8b
-10a = 0 + -8b
Remove the zero:
-10a = -8b

Divide each side by '-10'.
a = 0.8b

Simplifying
a = 0.8b