x-(x*0.01)-(x*0.01*0.1)=1

Solution for x-(x*0.01)-(x*0.01*0.1)=1 equation:

Simplifying
x + -1(x * 0.01) + -1(x * 0.01 * 0.1) = 1

Reorder the terms for easier multiplication:
x + -1(0.01x) + -1(x * 0.01 * 0.1) = 1

Remove parenthesis around (0.01x)
x + -1 * 0.01x + -1(x * 0.01 * 0.1) = 1

Multiply -1 * 0.01
x + -0.01x + -1(x * 0.01 * 0.1) = 1

Reorder the terms for easier multiplication:
x + -0.01x + -1(0.01 * 0.1x) = 1

Multiply 0.01 * 0.1
x + -0.01x + -1(0.001x) = 1

Remove parenthesis around (0.001x)
x + -0.01x + -1 * 0.001x = 1

Multiply -1 * 0.001
x + -0.01x + -0.001x = 1

Combine like terms: x + -0.01x = 0.99x
0.99x + -0.001x = 1

Combine like terms: 0.99x + -0.001x = 0.989x
0.989x = 1

Solving
0.989x = 1

Solving for variable 'x'.

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

Divide each side by '0.989'.
x = 1.011122346

Simplifying
x = 1.011122346