5a+2b-3(b+3a)=

Solution for 5a+2b-3(b+3a)= equation:

Simplifying
5a + 2b + -3(b + 3a) = 0

Reorder the terms:
5a + 2b + -3(3a + b) = 0
5a + 2b + (3a * -3 + b * -3) = 0
5a + 2b + (-9a + -3b) = 0

Reorder the terms:
5a + -9a + 2b + -3b = 0

Combine like terms: 5a + -9a = -4a
-4a + 2b + -3b = 0

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

Solving
-4a + -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.
-4a + -1b + b = 0 + b

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

Divide each side by '-4'.
a = -0.25b

Simplifying
a = -0.25b