.01x+.1x+.25(46-2x)=4.48

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Solution for .01x+.1x+.25(46-2x)=4.48 equation: 


Simplifying
0.01x + 0.1x + 0.25(46 + -2x) = 4.48
0.01x + 0.1x + (46 * 0.25 + -2x * 0.25) = 4.48
0.01x + 0.1x + (11.5 + -0.5x) = 4.48

Reorder the terms:
11.5 + 0.01x + 0.1x + -0.5x = 4.48

Combine like terms: 0.01x + 0.1x = 0.11x
11.5 + 0.11x + -0.5x = 4.48

Combine like terms: 0.11x + -0.5x = -0.39x
11.5 + -0.39x = 4.48

Solving
11.5 + -0.39x = 4.48

Solving for variable 'x'.

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

Add '-11.5' to each side of the equation.
11.5 + -11.5 + -0.39x = 4.48 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + -0.39x = 4.48 + -11.5
-0.39x = 4.48 + -11.5

Combine like terms: 4.48 + -11.5 = -7.02
-0.39x = -7.02

Divide each side by '-0.39'.
x = 18

Simplifying
x = 18

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