.098=(.13x)+(1-x)(.0423)

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Solution for .098=(.13x)+(1-x)(.0423) equation: 


Simplifying
0.098 = (0.13x) + (1 + -1x)(0.0423)

Reorder the terms for easier multiplication:
0.098 = (0.13x) + 0.0423(1 + -1x)
0.098 = (0.13x) + (1 * 0.0423 + -1x * 0.0423)
0.098 = (0.13x) + (0.0423 + -0.0423x)

Reorder the terms:
0.098 = 0.0423 + (0.13x) + -0.0423x

Combine like terms: (0.13x) + -0.0423x = 0.0877x
0.098 = 0.0423 + 0.0877x

Solving
0.098 = 0.0423 + 0.0877x

Solving for variable 'x'.

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

Add '-0.0877x' to each side of the equation.
0.098 + -0.0877x = 0.0423 + 0.0877x + -0.0877x

Combine like terms: 0.0877x + -0.0877x = 0.0000
0.098 + -0.0877x = 0.0423 + 0.0000
0.098 + -0.0877x = 0.0423

Add '-0.098' to each side of the equation.
0.098 + -0.098 + -0.0877x = 0.0423 + -0.098

Combine like terms: 0.098 + -0.098 = 0.000
0.000 + -0.0877x = 0.0423 + -0.098
-0.0877x = 0.0423 + -0.098

Combine like terms: 0.0423 + -0.098 = -0.0557
-0.0877x = -0.0557

Divide each side by '-0.0877'.
x = 0.6351197263

Simplifying
x = 0.6351197263

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