x-0.1x+0.9x=0.2(x+1)

Solution for x-0.1x+0.9x=0.2(x+1) equation:

Simplifying
x + -0.1x + 0.9x = 0.2(x + 1)

Combine like terms: x + -0.1x = 0.9x
0.9x + 0.9x = 0.2(x + 1)

Combine like terms: 0.9x + 0.9x = 1.8x
1.8x = 0.2(x + 1)

Reorder the terms:
1.8x = 0.2(1 + x)
1.8x = (1 * 0.2 + x * 0.2)
1.8x = (0.2 + 0.2x)

Solving
1.8x = 0.2 + 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.
1.8x + -0.2x = 0.2 + 0.2x + -0.2x

Combine like terms: 1.8x + -0.2x = 1.6x
1.6x = 0.2 + 0.2x + -0.2x

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

Divide each side by '1.6'.
x = 0.125

Simplifying
x = 0.125