0.90x+0.05(2-x)=0.10(92)

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Solution for 0.90x+0.05(2-x)=0.10(92) equation: 


Simplifying
0.90x + 0.05(2 + -1x) = 0.10(92)
0.90x + (2 * 0.05 + -1x * 0.05) = 0.10(92)
0.90x + (0.1 + -0.05x) = 0.10(92)

Reorder the terms:
0.1 + 0.90x + -0.05x = 0.10(92)

Combine like terms: 0.90x + -0.05x = 0.85x
0.1 + 0.85x = 0.10(92)

Multiply 0.10 * 92
0.1 + 0.85x = 9.2

Solving
0.1 + 0.85x = 9.2

Solving for variable 'x'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.85x = 9.2 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.85x = 9.2 + -0.1
0.85x = 9.2 + -0.1

Combine like terms: 9.2 + -0.1 = 9.1
0.85x = 9.1

Divide each side by '0.85'.
x = 10.70588235

Simplifying
x = 10.70588235

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