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

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

Simplifying
(4a + 2b) + -1(a + 3b) = 0

Remove parenthesis around (4a + 2b)
4a + 2b + -1(a + 3b) = 0
4a + 2b + (a * -1 + 3b * -1) = 0
4a + 2b + (-1a + -3b) = 0

Reorder the terms:
4a + -1a + 2b + -3b = 0

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

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

Solving
3a + -1b = 0

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
3a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
3a + 0 = 0 + b
3a = 0 + b
Remove the zero:
3a = b

Divide each side by '3'.
a = 0.3333333333b

Simplifying
a = 0.3333333333b