Question

-2(1+5a)= -6(a+3)

Answer 1

a=4

Answer 2

Simplifying
-2(1 + 5a) = -6(a + 3)
(1 * -2 + 5a * -2) = -6(a + 3)
(-2 + -10a) = -6(a + 3)

Reorder the terms:
-2 + -10a = -6(3 + a)
-2 + -10a = (3 * -6 + a * -6)
-2 + -10a = (-18 + -6a)

Solving
-2 + -10a = -18 + -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
-2 + -10a + 6a = -18 + -6a + 6a

Combine like terms: -10a + 6a = -4a
-2 + -4a = -18 + -6a + 6a

Combine like terms: -6a + 6a = 0
-2 + -4a = -18 + 0
-2 + -4a = -18

Add '2' to each side of the equation.
-2 + 2 + -4a = -18 + 2

Combine like terms: -2 + 2 = 0
0 + -4a = -18 + 2
-4a = -18 + 2

Combine like terms: -18 + 2 = -16
-4a = -16

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

Simplifying
a = 4