(0.8x+0.3x-0.9)-(0.9x+1.6)=

Solution for (0.8x+0.3x-0.9)-(0.9x+1.6)= equation:

Simplifying
(0.8x + 0.3x + -0.9) + -1(0.9x + 1.6) = 0

Reorder the terms:
(-0.9 + 0.8x + 0.3x) + -1(0.9x + 1.6) = 0

Combine like terms: 0.8x + 0.3x = 1.1x
(-0.9 + 1.1x) + -1(0.9x + 1.6) = 0

Remove parenthesis around (-0.9 + 1.1x)
-0.9 + 1.1x + -1(0.9x + 1.6) = 0

Reorder the terms:
-0.9 + 1.1x + -1(1.6 + 0.9x) = 0
-0.9 + 1.1x + (1.6 * -1 + 0.9x * -1) = 0
-0.9 + 1.1x + (-1.6 + -0.9x) = 0

Reorder the terms:
-0.9 + -1.6 + 1.1x + -0.9x = 0

Combine like terms: -0.9 + -1.6 = -2.5
-2.5 + 1.1x + -0.9x = 0

Combine like terms: 1.1x + -0.9x = 0.2x
-2.5 + 0.2x = 0

Solving
-2.5 + 0.2x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 0.2x = 0 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 0.2x = 0 + 2.5
0.2x = 0 + 2.5

Combine like terms: 0 + 2.5 = 2.5
0.2x = 2.5

Divide each side by '0.2'.
x = 12.5

Simplifying
x = 12.5