0.4x+0.25(82-x)=34

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Solution for 0.4x+0.25(82-x)=34 equation: 


Simplifying
0.4x + 0.25(82 + -1x) = 34
0.4x + (82 * 0.25 + -1x * 0.25) = 34
0.4x + (20.5 + -0.25x) = 34

Reorder the terms:
20.5 + 0.4x + -0.25x = 34

Combine like terms: 0.4x + -0.25x = 0.15x
20.5 + 0.15x = 34

Solving
20.5 + 0.15x = 34

Solving for variable 'x'.

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

Add '-20.5' to each side of the equation.
20.5 + -20.5 + 0.15x = 34 + -20.5

Combine like terms: 20.5 + -20.5 = 0.0
0.0 + 0.15x = 34 + -20.5
0.15x = 34 + -20.5

Combine like terms: 34 + -20.5 = 13.5
0.15x = 13.5

Divide each side by '0.15'.
x = 90

Simplifying
x = 90

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