0.6(8x+16)=1.6-(x+2)

Solution for 0.6(8x+16)=1.6-(x+2) equation:

Simplifying
0.6(8x + 16) = 1.6 + -1(x + 2)

Reorder the terms:
0.6(16 + 8x) = 1.6 + -1(x + 2)
(16 * 0.6 + 8x * 0.6) = 1.6 + -1(x + 2)
(9.6 + 4.8x) = 1.6 + -1(x + 2)

Reorder the terms:
9.6 + 4.8x = 1.6 + -1(2 + x)
9.6 + 4.8x = 1.6 + (2 * -1 + x * -1)
9.6 + 4.8x = 1.6 + (-2 + -1x)

Combine like terms: 1.6 + -2 = -0.4
9.6 + 4.8x = -0.4 + -1x

Solving
9.6 + 4.8x = -0.4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
9.6 + 4.8x + x = -0.4 + -1x + x

Combine like terms: 4.8x + x = 5.8x
9.6 + 5.8x = -0.4 + -1x + x

Combine like terms: -1x + x = 0
9.6 + 5.8x = -0.4 + 0
9.6 + 5.8x = -0.4

Add '-9.6' to each side of the equation.
9.6 + -9.6 + 5.8x = -0.4 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + 5.8x = -0.4 + -9.6
5.8x = -0.4 + -9.6

Combine like terms: -0.4 + -9.6 = -10
5.8x = -10

Divide each side by '5.8'.
x = -1.724137931

Simplifying
x = -1.724137931