.9(4x+8)=1.4-(x+2)

Solution for .9(4x+8)=1.4-(x+2) equation:

Simplifying
0.9(4x + 8) = 1.4 + -1(x + 2)

Reorder the terms:
0.9(8 + 4x) = 1.4 + -1(x + 2)
(8 * 0.9 + 4x * 0.9) = 1.4 + -1(x + 2)
(7.2 + 3.6x) = 1.4 + -1(x + 2)

Reorder the terms:
7.2 + 3.6x = 1.4 + -1(2 + x)
7.2 + 3.6x = 1.4 + (2 * -1 + x * -1)
7.2 + 3.6x = 1.4 + (-2 + -1x)

Combine like terms: 1.4 + -2 = -0.6
7.2 + 3.6x = -0.6 + -1x

Solving
7.2 + 3.6x = -0.6 + -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 + 3.6x + x = -0.6 + -1x + x

Combine like terms: 3.6x + x = 4.6x
7.2 + 4.6x = -0.6 + -1x + x

Combine like terms: -1x + x = 0
7.2 + 4.6x = -0.6 + 0
7.2 + 4.6x = -0.6

Add '-7.2' to each side of the equation.
7.2 + -7.2 + 4.6x = -0.6 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + 4.6x = -0.6 + -7.2
4.6x = -0.6 + -7.2

Combine like terms: -0.6 + -7.2 = -7.8
4.6x = -7.8

Divide each side by '4.6'.
x = -1.695652174

Simplifying
x = -1.695652174