0.4x+0.25(106-x)=26

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Solution for 0.4x+0.25(106-x)=26 equation: 


Simplifying
0.4x + 0.25(106 + -1x) = 26
0.4x + (106 * 0.25 + -1x * 0.25) = 26
0.4x + (26.5 + -0.25x) = 26

Reorder the terms:
26.5 + 0.4x + -0.25x = 26

Combine like terms: 0.4x + -0.25x = 0.15x
26.5 + 0.15x = 26

Solving
26.5 + 0.15x = 26

Solving for variable 'x'.

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

Add '-26.5' to each side of the equation.
26.5 + -26.5 + 0.15x = 26 + -26.5

Combine like terms: 26.5 + -26.5 = 0.0
0.0 + 0.15x = 26 + -26.5
0.15x = 26 + -26.5

Combine like terms: 26 + -26.5 = -0.5
0.15x = -0.5

Divide each side by '0.15'.
x = -3.333333333

Simplifying
x = -3.333333333

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