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

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

Simplifying
3(a + 2b) + -2(2a + b) = 0
(a * 3 + 2b * 3) + -2(2a + b) = 0
(3a + 6b) + -2(2a + b) = 0
3a + 6b + (2a * -2 + b * -2) = 0
3a + 6b + (-4a + -2b) = 0

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

Combine like terms: 3a + -4a = -1a
-1a + 6b + -2b = 0

Combine like terms: 6b + -2b = 4b
-1a + 4b = 0

Solving
-1a + 4b = 0

Solving for variable 'a'.

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

Add '-4b' to each side of the equation.
-1a + 4b + -4b = 0 + -4b

Combine like terms: 4b + -4b = 0
-1a + 0 = 0 + -4b
-1a = 0 + -4b
Remove the zero:
-1a = -4b

Divide each side by '-1'.
a = 4b

Simplifying
a = 4b