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

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

Simplifying
3(a + 2b) + -1(b + 2a) = 0
(a * 3 + 2b * 3) + -1(b + 2a) = 0
(3a + 6b) + -1(b + 2a) = 0

Reorder the terms:
3a + 6b + -1(2a + b) = 0
3a + 6b + (2a * -1 + b * -1) = 0
3a + 6b + (-2a + -1b) = 0

Reorder the terms:
3a + -2a + 6b + -1b = 0

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

Combine like terms: 6b + -1b = 5b
1a + 5b = 0

Solving
1a + 5b = 0

Solving for variable 'a'.

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

Add '-5b' to each side of the equation.
1a + 5b + -5b = 0 + -5b

Combine like terms: 5b + -5b = 0
1a + 0 = 0 + -5b
1a = 0 + -5b
Remove the zero:
1a = -5b

Divide each side by '1'.
a = -5b

Simplifying
a = -5b