(.01)(1-x)+(.063)(x)=(.02)(1)

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Solution for (.01)(1-x)+(.063)(x)=(.02)(1) equation: 


Simplifying
(0.01)(1 + -1x) + (0.063)(x) = (0.02)(1)
(1 * 0.01 + -1x * 0.01) + (0.063)(x) = (0.02)(1)
(0.01 + -0.01x) + (0.063)(x) = (0.02)(1)

Combine like terms: -0.01x + 0.063x = 0.053x
0.01 + 0.053x = (0.02)(1)

Multiply 0.02 * 1
0.01 + 0.053x = 0.02

Solving
0.01 + 0.053x = 0.02

Solving for variable 'x'.

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

Add '-0.01' to each side of the equation.
0.01 + -0.01 + 0.053x = 0.02 + -0.01

Combine like terms: 0.01 + -0.01 = 0.00
0.00 + 0.053x = 0.02 + -0.01
0.053x = 0.02 + -0.01

Combine like terms: 0.02 + -0.01 = 0.01
0.053x = 0.01

Divide each side by '0.053'.
x = 0.1886792453

Simplifying
x = 0.1886792453

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