.01x+.1x+.25(32-x)=2.54

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Solution for .01x+.1x+.25(32-x)=2.54 equation:


Simplifying
0.01x + 0.1x + 0.25(32 + -1x) = 2.54
0.01x + 0.1x + (32 * 0.25 + -1x * 0.25) = 2.54
0.01x + 0.1x + (8 + -0.25x) = 2.54

Reorder the terms:
8 + 0.01x + 0.1x + -0.25x = 2.54

Combine like terms: 0.01x + 0.1x = 0.11x
8 + 0.11x + -0.25x = 2.54

Combine like terms: 0.11x + -0.25x = -0.14x
8 + -0.14x = 2.54

Solving
8 + -0.14x = 2.54

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -0.14x = 2.54 + -8

Combine like terms: 8 + -8 = 0
0 + -0.14x = 2.54 + -8
-0.14x = 2.54 + -8

Combine like terms: 2.54 + -8 = -5.46
-0.14x = -5.46

Divide each side by '-0.14'.
x = 39

Simplifying
x = 39

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