0.6(x+12)=1.6-(x+2)

Solution for 0.6(x+12)=1.6-(x+2) equation:

Simplifying
0.6(x + 12) = 1.6 + -1(x + 2)

Reorder the terms:
0.6(12 + x) = 1.6 + -1(x + 2)
(12 * 0.6 + x * 0.6) = 1.6 + -1(x + 2)
(7.2 + 0.6x) = 1.6 + -1(x + 2)

Reorder the terms:
7.2 + 0.6x = 1.6 + -1(2 + x)
7.2 + 0.6x = 1.6 + (2 * -1 + x * -1)
7.2 + 0.6x = 1.6 + (-2 + -1x)

Combine like terms: 1.6 + -2 = -0.4
7.2 + 0.6x = -0.4 + -1x

Solving
7.2 + 0.6x = -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.
7.2 + 0.6x + x = -0.4 + -1x + x

Combine like terms: 0.6x + x = 1.6x
7.2 + 1.6x = -0.4 + -1x + x

Combine like terms: -1x + x = 0
7.2 + 1.6x = -0.4 + 0
7.2 + 1.6x = -0.4

Add '-7.2' to each side of the equation.
7.2 + -7.2 + 1.6x = -0.4 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + 1.6x = -0.4 + -7.2
1.6x = -0.4 + -7.2

Combine like terms: -0.4 + -7.2 = -7.6
1.6x = -7.6

Divide each side by '1.6'.
x = -4.75

Simplifying
x = -4.75