0.115=x(0.04)+(1-x)(0.09)

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Solution for 0.115=x(0.04)+(1-x)(0.09) equation: 


Simplifying
0.115 = x(0.04) + (1 + -1x)(0.09)

Reorder the terms for easier multiplication:
0.115 = 0.04x + (1 + -1x)(0.09)

Reorder the terms for easier multiplication:
0.115 = 0.04x + 0.09(1 + -1x)
0.115 = 0.04x + (1 * 0.09 + -1x * 0.09)
0.115 = 0.04x + (0.09 + -0.09x)

Reorder the terms:
0.115 = 0.09 + 0.04x + -0.09x

Combine like terms: 0.04x + -0.09x = -0.05x
0.115 = 0.09 + -0.05x

Solving
0.115 = 0.09 + -0.05x

Solving for variable 'x'.

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

Add '0.05x' to each side of the equation.
0.115 + 0.05x = 0.09 + -0.05x + 0.05x

Combine like terms: -0.05x + 0.05x = 0.00
0.115 + 0.05x = 0.09 + 0.00
0.115 + 0.05x = 0.09

Add '-0.115' to each side of the equation.
0.115 + -0.115 + 0.05x = 0.09 + -0.115

Combine like terms: 0.115 + -0.115 = 0.000
0.000 + 0.05x = 0.09 + -0.115
0.05x = 0.09 + -0.115

Combine like terms: 0.09 + -0.115 = -0.025
0.05x = -0.025

Divide each side by '0.05'.
x = -0.5

Simplifying
x = -0.5

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