0.5(3x+6)=1.6-(x+2)

Solution for 0.5(3x+6)=1.6-(x+2) equation:

Simplifying
0.5(3x + 6) = 1.6 + -1(x + 2)

Reorder the terms:
0.5(6 + 3x) = 1.6 + -1(x + 2)
(6 * 0.5 + 3x * 0.5) = 1.6 + -1(x + 2)
(3 + 1.5x) = 1.6 + -1(x + 2)

Reorder the terms:
3 + 1.5x = 1.6 + -1(2 + x)
3 + 1.5x = 1.6 + (2 * -1 + x * -1)
3 + 1.5x = 1.6 + (-2 + -1x)

Combine like terms: 1.6 + -2 = -0.4
3 + 1.5x = -0.4 + -1x

Solving
3 + 1.5x = -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.
3 + 1.5x + x = -0.4 + -1x + x

Combine like terms: 1.5x + x = 2.5x
3 + 2.5x = -0.4 + -1x + x

Combine like terms: -1x + x = 0
3 + 2.5x = -0.4 + 0
3 + 2.5x = -0.4

Add '-3' to each side of the equation.
3 + -3 + 2.5x = -0.4 + -3

Combine like terms: 3 + -3 = 0
0 + 2.5x = -0.4 + -3
2.5x = -0.4 + -3

Combine like terms: -0.4 + -3 = -3.4
2.5x = -3.4

Divide each side by '2.5'.
x = -1.36

Simplifying
x = -1.36