1.04=(.9x)+(1.1)(1-x)

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Solution for 1.04=(.9x)+(1.1)(1-x) equation:


Simplifying
1.04 = (0.9x) + (1.1)(1 + -1x)
1.04 = (0.9x) + (1 * 1.1 + -1x * 1.1)
1.04 = (0.9x) + (1.1 + -1.1x)

Reorder the terms:
1.04 = 1.1 + (0.9x) + -1.1x

Combine like terms: (0.9x) + -1.1x = -0.2x
1.04 = 1.1 + -0.2x

Solving
1.04 = 1.1 + -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.
1.04 + 0.2x = 1.1 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
1.04 + 0.2x = 1.1 + 0.0
1.04 + 0.2x = 1.1

Add '-1.04' to each side of the equation.
1.04 + -1.04 + 0.2x = 1.1 + -1.04

Combine like terms: 1.04 + -1.04 = 0.00
0.00 + 0.2x = 1.1 + -1.04
0.2x = 1.1 + -1.04

Combine like terms: 1.1 + -1.04 = 0.06
0.2x = 0.06

Divide each side by '0.2'.
x = 0.3

Simplifying
x = 0.3

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