(.10)(x)+(.60)(25-x)=(.40)(25)

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Solution for (.10)(x)+(.60)(25-x)=(.40)(25) equation: 


Simplifying
(0.10)(x) + (0.60)(25 + -1x) = (0.40)(25)
0.10x + (25 * 0.60 + -1x * 0.60) = (0.40)(25)
0.10x + (15 + -0.6x) = (0.40)(25)

Reorder the terms:
15 + 0.10x + -0.6x = (0.40)(25)

Combine like terms: 0.10x + -0.6x = -0.5x
15 + -0.5x = (0.40)(25)

Multiply 0.40 * 25
15 + -0.5x = 10

Solving
15 + -0.5x = 10

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -0.5x = 10 + -15

Combine like terms: 15 + -15 = 0
0 + -0.5x = 10 + -15
-0.5x = 10 + -15

Combine like terms: 10 + -15 = -5
-0.5x = -5

Divide each side by '-0.5'.
x = 10

Simplifying
x = 10

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