0.9x-0.1(16-2x)=-0.2(x-5)

Solution for 0.9x-0.1(16-2x)=-0.2(x-5) equation:

Simplifying
0.9x + -0.1(16 + -2x) = -0.2(x + -5)
0.9x + (16 * -0.1 + -2x * -0.1) = -0.2(x + -5)
0.9x + (-1.6 + 0.2x) = -0.2(x + -5)

Reorder the terms:
-1.6 + 0.9x + 0.2x = -0.2(x + -5)

Combine like terms: 0.9x + 0.2x = 1.1x
-1.6 + 1.1x = -0.2(x + -5)

Reorder the terms:
-1.6 + 1.1x = -0.2(-5 + x)
-1.6 + 1.1x = (-5 * -0.2 + x * -0.2)
-1.6 + 1.1x = (1 + -0.2x)

Solving
-1.6 + 1.1x = 1 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-1.6 + 1.1x + 0.2x = 1 + -0.2x + 0.2x

Combine like terms: 1.1x + 0.2x = 1.3x
-1.6 + 1.3x = 1 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-1.6 + 1.3x = 1 + 0.0
-1.6 + 1.3x = 1

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 1.3x = 1 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 1.3x = 1 + 1.6
1.3x = 1 + 1.6

Combine like terms: 1 + 1.6 = 2.6
1.3x = 2.6

Divide each side by '1.3'.
x = 2

Simplifying
x = 2