(x+0.01x+0.04x)=(x+0.01x+0.04x)-0.01(x+0.01x+0.04x)-0.04(x+0.01x+0.04x)

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Solution for (x+0.01x+0.04x)=(x+0.01x+0.04x)-0.01(x+0.01x+0.04x)-0.04(x+0.01x+0.04x) equation: 


Simplifying
(x + 0.01x + 0.04x) = (x + 0.01x + 0.04x) + -0.01(x + 0.01x + 0.04x) + -0.04(x + 0.01x + 0.04x)

Combine like terms: x + 0.01x = 1.01x
(1.01x + 0.04x) = (x + 0.01x + 0.04x) + -0.01(x + 0.01x + 0.04x) + -0.04(x + 0.01x + 0.04x)

Combine like terms: 1.01x + 0.04x = 1.05x
(1.05x) = (x + 0.01x + 0.04x) + -0.01(x + 0.01x + 0.04x) + -0.04(x + 0.01x + 0.04x)
(1.05x) = (x + 0.01x + 0.04x) + -0.01(x + 0.01x + 0.04x) + -0.04(x + 0.01x + 0.04x)

Combine like terms: x + 0.01x = 1.01x
(1.05x) = (1.01x + 0.04x) + -0.01(x + 0.01x + 0.04x) + -0.04(x + 0.01x + 0.04x)

Combine like terms: 1.01x + 0.04x = 1.05x
(1.05x) = (1.05x) + -0.01(x + 0.01x + 0.04x) + -0.04(x + 0.01x + 0.04x)
(1.05x) = (1.05x) + -0.01(x + 0.01x + 0.04x) + -0.04(x + 0.01x + 0.04x)

Combine like terms: x + 0.01x = 1.01x
(1.05x) = (1.05x) + -0.01(1.01x + 0.04x) + -0.04(x + 0.01x + 0.04x)

Combine like terms: 1.01x + 0.04x = 1.05x
(1.05x) = (1.05x) + -0.01(1.05x) + -0.04(x + 0.01x + 0.04x)

Remove parenthesis around (1.05x)
(1.05x) = (1.05x) + -0.01 * 1.05x + -0.04(x + 0.01x + 0.04x)

Multiply -0.01 * 1.05
(1.05x) = (1.05x) + -0.0105x + -0.04(x + 0.01x + 0.04x)

Combine like terms: x + 0.01x = 1.01x
(1.05x) = (1.05x) + -0.0105x + -0.04(1.01x + 0.04x)

Combine like terms: 1.01x + 0.04x = 1.05x
(1.05x) = (1.05x) + -0.0105x + -0.04(1.05x)

Remove parenthesis around (1.05x)
(1.05x) = (1.05x) + -0.0105x + -0.04 * 1.05x

Multiply -0.04 * 1.05
(1.05x) = (1.05x) + -0.0105x + -0.042x

Combine like terms: (1.05x) + -0.0105x = 1.0395x
(1.05x) = 1.0395x + -0.042x

Combine like terms: 1.0395x + -0.042x = 0.9975x
(1.05x) = 0.9975x

Solving
(1.05x) = 0.9975x

Solving for variable 'x'.

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

Add '-0.9975x' to each side of the equation.
(1.05x) + -0.9975x = 0.9975x + -0.9975x

Combine like terms: (1.05x) + -0.9975x = 0.0525x
0.0525x = 0.9975x + -0.9975x

Combine like terms: 0.9975x + -0.9975x = 0.0000
0.0525x = 0.0000

Divide each side by '0.0525'.
x = 0

Simplifying
x = 0

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