0.9*x+0.5*y=0.8(x+y)

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Solution for 0.9*x+0.5*y=0.8(x+y) equation: 


Simplifying
0.9x + 0.5y = 0.8(x + y)
0.9x + 0.5y = (x * 0.8 + y * 0.8)
0.9x + 0.5y = (0.8x + 0.8y)

Solving
0.9x + 0.5y = 0.8x + 0.8y

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
0.9x + -0.8x + 0.5y = 0.8x + -0.8x + 0.8y

Combine like terms: 0.9x + -0.8x = 0.1x
0.1x + 0.5y = 0.8x + -0.8x + 0.8y

Combine like terms: 0.8x + -0.8x = 0.0
0.1x + 0.5y = 0.0 + 0.8y
0.1x + 0.5y = 0.8y

Add '-0.5y' to each side of the equation.
0.1x + 0.5y + -0.5y = 0.8y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
0.1x + 0.0 = 0.8y + -0.5y
0.1x = 0.8y + -0.5y

Combine like terms: 0.8y + -0.5y = 0.3y
0.1x = 0.3y

Divide each side by '0.1'.
x = 3y

Simplifying
x = 3y

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