.25x+.4(100-x)=28

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Solution for .25x+.4(100-x)=28 equation:


Simplifying
0.25x + 0.4(100 + -1x) = 28
0.25x + (100 * 0.4 + -1x * 0.4) = 28
0.25x + (40 + -0.4x) = 28

Reorder the terms:
40 + 0.25x + -0.4x = 28

Combine like terms: 0.25x + -0.4x = -0.15x
40 + -0.15x = 28

Solving
40 + -0.15x = 28

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + -0.15x = 28 + -40

Combine like terms: 40 + -40 = 0
0 + -0.15x = 28 + -40
-0.15x = 28 + -40

Combine like terms: 28 + -40 = -12
-0.15x = -12

Divide each side by '-0.15'.
x = 80

Simplifying
x = 80

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