(0.4x-0.125y)-(0.3x+0.25y)=10-0.5

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Solution for (0.4x-0.125y)-(0.3x+0.25y)=10-0.5 equation: 


Simplifying
(0.4x + -0.125y) + -1(0.3x + 0.25y) = 10 + -0.5

Remove parenthesis around (0.4x + -0.125y)
0.4x + -0.125y + -1(0.3x + 0.25y) = 10 + -0.5
0.4x + -0.125y + (0.3x * -1 + 0.25y * -1) = 10 + -0.5
0.4x + -0.125y + (-0.3x + -0.25y) = 10 + -0.5

Reorder the terms:
0.4x + -0.3x + -0.125y + -0.25y = 10 + -0.5

Combine like terms: 0.4x + -0.3x = 0.1x
0.1x + -0.125y + -0.25y = 10 + -0.5

Combine like terms: -0.125y + -0.25y = -0.375y
0.1x + -0.375y = 10 + -0.5

Combine like terms: 10 + -0.5 = 9.5
0.1x + -0.375y = 9.5

Solving
0.1x + -0.375y = 9.5

Solving for variable 'x'.

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

Add '0.375y' to each side of the equation.
0.1x + -0.375y + 0.375y = 9.5 + 0.375y

Combine like terms: -0.375y + 0.375y = 0.000
0.1x + 0.000 = 9.5 + 0.375y
0.1x = 9.5 + 0.375y

Divide each side by '0.1'.
x = 95 + 3.75y

Simplifying
x = 95 + 3.75y

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