5(4a+2b)-3(2a+b)=

Solution for 5(4a+2b)-3(2a+b)= equation:

Simplifying
5(4a + 2b) + -3(2a + b) = 0
(4a * 5 + 2b * 5) + -3(2a + b) = 0
(20a + 10b) + -3(2a + b) = 0
20a + 10b + (2a * -3 + b * -3) = 0
20a + 10b + (-6a + -3b) = 0

Reorder the terms:
20a + -6a + 10b + -3b = 0

Combine like terms: 20a + -6a = 14a
14a + 10b + -3b = 0

Combine like terms: 10b + -3b = 7b
14a + 7b = 0

Solving
14a + 7b = 0

Solving for variable 'a'.

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

Add '-7b' to each side of the equation.
14a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0
14a + 0 = 0 + -7b
14a = 0 + -7b
Remove the zero:
14a = -7b

Divide each side by '14'.
a = -0.5b

Simplifying
a = -0.5b