0.5(2a-4b)+0.3(a+b)=

Solution for 0.5(2a-4b)+0.3(a+b)= equation:

Simplifying
0.5(2a + -4b) + 0.3(a + b) = 0
(2a * 0.5 + -4b * 0.5) + 0.3(a + b) = 0
(1a + -2b) + 0.3(a + b) = 0
1a + -2b + (a * 0.3 + b * 0.3) = 0
1a + -2b + (0.3a + 0.3b) = 0

Reorder the terms:
1a + 0.3a + -2b + 0.3b = 0

Combine like terms: 1a + 0.3a = 1.3a
1.3a + -2b + 0.3b = 0

Combine like terms: -2b + 0.3b = -1.7b
1.3a + -1.7b = 0

Solving
1.3a + -1.7b = 0

Solving for variable 'a'.

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

Add '1.7b' to each side of the equation.
1.3a + -1.7b + 1.7b = 0 + 1.7b

Combine like terms: -1.7b + 1.7b = 0.0
1.3a + 0.0 = 0 + 1.7b
1.3a = 0 + 1.7b
Remove the zero:
1.3a = 1.7b

Divide each side by '1.3'.
a = 1.307692308b

Simplifying
a = 1.307692308b