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

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

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

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

Solving
6 + -2x = 16 + 16x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = -0.5555555556