0.6(3x+6)=1.5-(x+2)

Solution for 0.6(3x+6)=1.5-(x+2) equation:

Simplifying
0.6(3x + 6) = 1.5 + -1(x + 2)

Reorder the terms:
0.6(6 + 3x) = 1.5 + -1(x + 2)
(6 * 0.6 + 3x * 0.6) = 1.5 + -1(x + 2)
(3.6 + 1.8x) = 1.5 + -1(x + 2)

Reorder the terms:
3.6 + 1.8x = 1.5 + -1(2 + x)
3.6 + 1.8x = 1.5 + (2 * -1 + x * -1)
3.6 + 1.8x = 1.5 + (-2 + -1x)

Combine like terms: 1.5 + -2 = -0.5
3.6 + 1.8x = -0.5 + -1x

Solving
3.6 + 1.8x = -0.5 + -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 = -0.5 + -1x + x

Combine like terms: 1.8x + x = 2.8x
3.6 + 2.8x = -0.5 + -1x + x

Combine like terms: -1x + x = 0
3.6 + 2.8x = -0.5 + 0
3.6 + 2.8x = -0.5

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 2.8x = -0.5 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 2.8x = -0.5 + -3.6
2.8x = -0.5 + -3.6

Combine like terms: -0.5 + -3.6 = -4.1
2.8x = -4.1

Divide each side by '2.8'.
x = -1.464285714

Simplifying
x = -1.464285714