5*(2a-5b)+3*(4a+6b)=

Solution for 5*(2a-5b)+3*(4a+6b)= equation:

Simplifying
5(2a + -5b) + 3(4a + 6b) = 0
(2a * 5 + -5b * 5) + 3(4a + 6b) = 0
(10a + -25b) + 3(4a + 6b) = 0
10a + -25b + (4a * 3 + 6b * 3) = 0
10a + -25b + (12a + 18b) = 0

Reorder the terms:
10a + 12a + -25b + 18b = 0

Combine like terms: 10a + 12a = 22a
22a + -25b + 18b = 0

Combine like terms: -25b + 18b = -7b
22a + -7b = 0

Solving
22a + -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.
22a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
22a + 0 = 0 + 7b
22a = 0 + 7b
Remove the zero:
22a = 7b

Divide each side by '22'.
a = 0.3181818182b

Simplifying
a = 0.3181818182b