0.4x+0.25(78-x)=31

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Solution for 0.4x+0.25(78-x)=31 equation: 


Simplifying
0.4x + 0.25(78 + -1x) = 31
0.4x + (78 * 0.25 + -1x * 0.25) = 31
0.4x + (19.5 + -0.25x) = 31

Reorder the terms:
19.5 + 0.4x + -0.25x = 31

Combine like terms: 0.4x + -0.25x = 0.15x
19.5 + 0.15x = 31

Solving
19.5 + 0.15x = 31

Solving for variable 'x'.

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

Add '-19.5' to each side of the equation.
19.5 + -19.5 + 0.15x = 31 + -19.5

Combine like terms: 19.5 + -19.5 = 0.0
0.0 + 0.15x = 31 + -19.5
0.15x = 31 + -19.5

Combine like terms: 31 + -19.5 = 11.5
0.15x = 11.5

Divide each side by '0.15'.
x = 76.66666667

Simplifying
x = 76.66666667

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