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

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


Simplifying
0.25x + 0.40(81 + -1x) = 26.7
0.25x + (81 * 0.40 + -1x * 0.40) = 26.7
0.25x + (32.4 + -0.4x) = 26.7

Reorder the terms:
32.4 + 0.25x + -0.4x = 26.7

Combine like terms: 0.25x + -0.4x = -0.15x
32.4 + -0.15x = 26.7

Solving
32.4 + -0.15x = 26.7

Solving for variable 'x'.

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

Add '-32.4' to each side of the equation.
32.4 + -32.4 + -0.15x = 26.7 + -32.4

Combine like terms: 32.4 + -32.4 = 0.0
0.0 + -0.15x = 26.7 + -32.4
-0.15x = 26.7 + -32.4

Combine like terms: 26.7 + -32.4 = -5.7
-0.15x = -5.7

Divide each side by '-0.15'.
x = 38

Simplifying
x = 38

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