.4x+0.25(100-x)=31

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Solution for .4x+0.25(100-x)=31 equation:


Simplifying
0.4x + 0.25(100 + -1x) = 31
0.4x + (100 * 0.25 + -1x * 0.25) = 31
0.4x + (25 + -0.25x) = 31

Reorder the terms:
25 + 0.4x + -0.25x = 31

Combine like terms: 0.4x + -0.25x = 0.15x
25 + 0.15x = 31

Solving
25 + 0.15x = 31

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 0.15x = 31 + -25

Combine like terms: 25 + -25 = 0
0 + 0.15x = 31 + -25
0.15x = 31 + -25

Combine like terms: 31 + -25 = 6
0.15x = 6

Divide each side by '0.15'.
x = 40

Simplifying
x = 40

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