.40x+.25(81-x)=26.7

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Solution for .40x+.25(81-x)=26.7 equation: 


Simplifying
0.40x + 0.25(81 + -1x) = 26.7
0.40x + (81 * 0.25 + -1x * 0.25) = 26.7
0.40x + (20.25 + -0.25x) = 26.7

Reorder the terms:
20.25 + 0.40x + -0.25x = 26.7

Combine like terms: 0.40x + -0.25x = 0.15x
20.25 + 0.15x = 26.7

Solving
20.25 + 0.15x = 26.7

Solving for variable 'x'.

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

Add '-20.25' to each side of the equation.
20.25 + -20.25 + 0.15x = 26.7 + -20.25

Combine like terms: 20.25 + -20.25 = 0.00
0.00 + 0.15x = 26.7 + -20.25
0.15x = 26.7 + -20.25

Combine like terms: 26.7 + -20.25 = 6.45
0.15x = 6.45

Divide each side by '0.15'.
x = 43

Simplifying
x = 43

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