6(1-4a)=-2(10a-3)

Solution for 6(1-4a)=-2(10a-3) equation:

Simplifying
6(1 + -4a) = -2(10a + -3)
(1 * 6 + -4a * 6) = -2(10a + -3)
(6 + -24a) = -2(10a + -3)

Reorder the terms:
6 + -24a = -2(-3 + 10a)
6 + -24a = (-3 * -2 + 10a * -2)
6 + -24a = (6 + -20a)

Add '-6' to each side of the equation.
6 + -6 + -24a = 6 + -6 + -20a

Combine like terms: 6 + -6 = 0
0 + -24a = 6 + -6 + -20a
-24a = 6 + -6 + -20a

Combine like terms: 6 + -6 = 0
-24a = 0 + -20a
-24a = -20a

Solving
-24a = -20a

Solving for variable 'a'.

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

Add '20a' to each side of the equation.
-24a + 20a = -20a + 20a

Combine like terms: -24a + 20a = -4a
-4a = -20a + 20a

Combine like terms: -20a + 20a = 0
-4a = 0

Divide each side by '-4'.
a = 0

Simplifying
a = 0