0.9(7x+14)=1.6-(x+2)

Solution for 0.9(7x+14)=1.6-(x+2) equation:

Simplifying
0.9(7x + 14) = 1.6 + -1(x + 2)

Reorder the terms:
0.9(14 + 7x) = 1.6 + -1(x + 2)
(14 * 0.9 + 7x * 0.9) = 1.6 + -1(x + 2)
(12.6 + 6.3x) = 1.6 + -1(x + 2)

Reorder the terms:
12.6 + 6.3x = 1.6 + -1(2 + x)
12.6 + 6.3x = 1.6 + (2 * -1 + x * -1)
12.6 + 6.3x = 1.6 + (-2 + -1x)

Combine like terms: 1.6 + -2 = -0.4
12.6 + 6.3x = -0.4 + -1x

Solving
12.6 + 6.3x = -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.
12.6 + 6.3x + x = -0.4 + -1x + x

Combine like terms: 6.3x + x = 7.3x
12.6 + 7.3x = -0.4 + -1x + x

Combine like terms: -1x + x = 0
12.6 + 7.3x = -0.4 + 0
12.6 + 7.3x = -0.4

Add '-12.6' to each side of the equation.
12.6 + -12.6 + 7.3x = -0.4 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + 7.3x = -0.4 + -12.6
7.3x = -0.4 + -12.6

Combine like terms: -0.4 + -12.6 = -13
7.3x = -13

Divide each side by '7.3'.
x = -1.780821918

Simplifying
x = -1.780821918