2(3-a)=16(a+1)

Solution for 2(3-a)=16(a+1) equation:

Simplifying
2(3 + -1a) = 16(a + 1)
(3 * 2 + -1a * 2) = 16(a + 1)
(6 + -2a) = 16(a + 1)

Reorder the terms:
6 + -2a = 16(1 + a)
6 + -2a = (1 * 16 + a * 16)
6 + -2a = (16 + 16a)

Solving
6 + -2a = 16 + 16a

Solving for variable 'a'.

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

Add '-16a' to each side of the equation.
6 + -2a + -16a = 16 + 16a + -16a

Combine like terms: -2a + -16a = -18a
6 + -18a = 16 + 16a + -16a

Combine like terms: 16a + -16a = 0
6 + -18a = 16 + 0
6 + -18a = 16

Add '-6' to each side of the equation.
6 + -6 + -18a = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -18a = 16 + -6
-18a = 16 + -6

Combine like terms: 16 + -6 = 10
-18a = 10

Divide each side by '-18'.
a = -0.5555555556

Simplifying
a = -0.5555555556