(x-(0.1x))-(0.1(x-(0.1x)))=1100

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Solution for (x-(0.1x))-(0.1(x-(0.1x)))=1100 equation:


Simplifying
(x + -1(0.1x)) + -1(0.1(x + -1(0.1x))) = 1100

Remove parenthesis around (0.1x)
(x + -1 * 0.1x) + -1(0.1(x + -1(0.1x))) = 1100

Multiply -1 * 0.1
(x + -0.1x) + -1(0.1(x + -1(0.1x))) = 1100

Combine like terms: x + -0.1x = 0.9x
(0.9x) + -1(0.1(x + -1(0.1x))) = 1100
(0.9x) + -1(0.1(x + -1(0.1x))) = 1100

Remove parenthesis around (0.1x)
(0.9x) + -1(0.1(x + -1 * 0.1x)) = 1100

Multiply -1 * 0.1
(0.9x) + -1(0.1(x + -0.1x)) = 1100

Combine like terms: x + -0.1x = 0.9x
(0.9x) + -1(0.1(0.9x)) = 1100

Remove parenthesis around (0.9x)
(0.9x) + -1(0.1 * 0.9x) = 1100

Multiply 0.1 * 0.9
(0.9x) + -1(0.09x) = 1100

Remove parenthesis around (0.09x)
(0.9x) + -1 * 0.09x = 1100

Multiply -1 * 0.09
(0.9x) + -0.09x = 1100

Combine like terms: (0.9x) + -0.09x = 0.81x
0.81x = 1100

Solving
0.81x = 1100

Solving for variable 'x'.

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

Divide each side by '0.81'.
x = 1358.024691

Simplifying
x = 1358.024691

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