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

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

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

Reorder the terms:
6a + 18b + -4(-5a + 2b) = 0
6a + 18b + (-5a * -4 + 2b * -4) = 0
6a + 18b + (20a + -8b) = 0

Reorder the terms:
6a + 20a + 18b + -8b = 0

Combine like terms: 6a + 20a = 26a
26a + 18b + -8b = 0

Combine like terms: 18b + -8b = 10b
26a + 10b = 0

Solving
26a + 10b = 0

Solving for variable 'a'.

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

Add '-10b' to each side of the equation.
26a + 10b + -10b = 0 + -10b

Combine like terms: 10b + -10b = 0
26a + 0 = 0 + -10b
26a = 0 + -10b
Remove the zero:
26a = -10b

Divide each side by '26'.
a = -0.3846153846b

Simplifying
a = -0.3846153846b