0.7(8x+16)=1.3-(x+2)

Solution for 0.7(8x+16)=1.3-(x+2) equation:

Simplifying
0.7(8x + 16) = 1.3 + -1(x + 2)

Reorder the terms:
0.7(16 + 8x) = 1.3 + -1(x + 2)
(16 * 0.7 + 8x * 0.7) = 1.3 + -1(x + 2)
(11.2 + 5.6x) = 1.3 + -1(x + 2)

Reorder the terms:
11.2 + 5.6x = 1.3 + -1(2 + x)
11.2 + 5.6x = 1.3 + (2 * -1 + x * -1)
11.2 + 5.6x = 1.3 + (-2 + -1x)

Combine like terms: 1.3 + -2 = -0.7
11.2 + 5.6x = -0.7 + -1x

Solving
11.2 + 5.6x = -0.7 + -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.
11.2 + 5.6x + x = -0.7 + -1x + x

Combine like terms: 5.6x + x = 6.6x
11.2 + 6.6x = -0.7 + -1x + x

Combine like terms: -1x + x = 0
11.2 + 6.6x = -0.7 + 0
11.2 + 6.6x = -0.7

Add '-11.2' to each side of the equation.
11.2 + -11.2 + 6.6x = -0.7 + -11.2

Combine like terms: 11.2 + -11.2 = 0.0
0.0 + 6.6x = -0.7 + -11.2
6.6x = -0.7 + -11.2

Combine like terms: -0.7 + -11.2 = -11.9
6.6x = -11.9

Divide each side by '6.6'.
x = -1.803030303

Simplifying
x = -1.803030303