0.05x+0.15(400-x)=51.5

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Solution for 0.05x+0.15(400-x)=51.5 equation: 


Simplifying
0.05x + 0.15(400 + -1x) = 51.5
0.05x + (400 * 0.15 + -1x * 0.15) = 51.5
0.05x + (60 + -0.15x) = 51.5

Reorder the terms:
60 + 0.05x + -0.15x = 51.5

Combine like terms: 0.05x + -0.15x = -0.1x
60 + -0.1x = 51.5

Solving
60 + -0.1x = 51.5

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + -0.1x = 51.5 + -60

Combine like terms: 60 + -60 = 0
0 + -0.1x = 51.5 + -60
-0.1x = 51.5 + -60

Combine like terms: 51.5 + -60 = -8.5
-0.1x = -8.5

Divide each side by '-0.1'.
x = 85

Simplifying
x = 85

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