(.40)(50-x)+(.08)(x)=(.24)(50)

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Solution for (.40)(50-x)+(.08)(x)=(.24)(50) equation: 


Simplifying
(0.40)(50 + -1x) + (0.08)(x) = (0.24)(50)
(50 * 0.40 + -1x * 0.40) + (0.08)(x) = (0.24)(50)
(20 + -0.4x) + (0.08)(x) = (0.24)(50)

Combine like terms: -0.4x + 0.08x = -0.32x
20 + -0.32x = (0.24)(50)

Multiply 0.24 * 50
20 + -0.32x = 12

Solving
20 + -0.32x = 12

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -0.32x = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -0.32x = 12 + -20
-0.32x = 12 + -20

Combine like terms: 12 + -20 = -8
-0.32x = -8

Divide each side by '-0.32'.
x = 25

Simplifying
x = 25

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