.6(3x+6)=1.8-(x+2)

Solution for .6(3x+6)=1.8-(x+2) equation:

Simplifying
0.6(3x + 6) = 1.8 + -1(x + 2)

Reorder the terms:
0.6(6 + 3x) = 1.8 + -1(x + 2)
(6 * 0.6 + 3x * 0.6) = 1.8 + -1(x + 2)
(3.6 + 1.8x) = 1.8 + -1(x + 2)

Reorder the terms:
3.6 + 1.8x = 1.8 + -1(2 + x)
3.6 + 1.8x = 1.8 + (2 * -1 + x * -1)
3.6 + 1.8x = 1.8 + (-2 + -1x)

Combine like terms: 1.8 + -2 = -0.2
3.6 + 1.8x = -0.2 + -1x

Solving
3.6 + 1.8x = -0.2 + -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.
3.6 + 1.8x + x = -0.2 + -1x + x

Combine like terms: 1.8x + x = 2.8x
3.6 + 2.8x = -0.2 + -1x + x

Combine like terms: -1x + x = 0
3.6 + 2.8x = -0.2 + 0
3.6 + 2.8x = -0.2

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 2.8x = -0.2 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 2.8x = -0.2 + -3.6
2.8x = -0.2 + -3.6

Combine like terms: -0.2 + -3.6 = -3.8
2.8x = -3.8

Divide each side by '2.8'.
x = -1.357142857

Simplifying
x = -1.357142857