.25x+.05(2-x)=.10(5)

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Solution for .25x+.05(2-x)=.10(5) equation:


Simplifying
0.25x + 0.05(2 + -1x) = 0.10(5)
0.25x + (2 * 0.05 + -1x * 0.05) = 0.10(5)
0.25x + (0.1 + -0.05x) = 0.10(5)

Reorder the terms:
0.1 + 0.25x + -0.05x = 0.10(5)

Combine like terms: 0.25x + -0.05x = 0.2x
0.1 + 0.2x = 0.10(5)

Multiply 0.10 * 5
0.1 + 0.2x = 0.5

Solving
0.1 + 0.2x = 0.5

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 + 0.2x = 0.5 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.2x = 0.5 + -0.1
0.2x = 0.5 + -0.1

Combine like terms: 0.5 + -0.1 = 0.4
0.2x = 0.4

Divide each side by '0.2'.
x = 2

Simplifying
x = 2

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