0.4x+0.25(102-x)=26

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Solution for 0.4x+0.25(102-x)=26 equation: 


Simplifying
0.4x + 0.25(102 + -1x) = 26
0.4x + (102 * 0.25 + -1x * 0.25) = 26
0.4x + (25.5 + -0.25x) = 26

Reorder the terms:
25.5 + 0.4x + -0.25x = 26

Combine like terms: 0.4x + -0.25x = 0.15x
25.5 + 0.15x = 26

Solving
25.5 + 0.15x = 26

Solving for variable 'x'.

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

Add '-25.5' to each side of the equation.
25.5 + -25.5 + 0.15x = 26 + -25.5

Combine like terms: 25.5 + -25.5 = 0.0
0.0 + 0.15x = 26 + -25.5
0.15x = 26 + -25.5

Combine like terms: 26 + -25.5 = 0.5
0.15x = 0.5

Divide each side by '0.15'.
x = 3.333333333

Simplifying
x = 3.333333333

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