0.286(x+y)-0.143(x-1)=

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Solution for 0.286(x+y)-0.143(x-1)= equation: 


Simplifying
0.286(x + y) + -0.143(x + -1) = 0
(x * 0.286 + y * 0.286) + -0.143(x + -1) = 0
(0.286x + 0.286y) + -0.143(x + -1) = 0

Reorder the terms:
0.286x + 0.286y + -0.143(-1 + x) = 0
0.286x + 0.286y + (-1 * -0.143 + x * -0.143) = 0
0.286x + 0.286y + (0.143 + -0.143x) = 0

Reorder the terms:
0.143 + 0.286x + -0.143x + 0.286y = 0

Combine like terms: 0.286x + -0.143x = 0.143x
0.143 + 0.143x + 0.286y = 0

Solving
0.143 + 0.143x + 0.286y = 0

Solving for variable 'x'.

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

Add '-0.143' to each side of the equation.
0.143 + 0.143x + -0.143 + 0.286y = 0 + -0.143

Reorder the terms:
0.143 + -0.143 + 0.143x + 0.286y = 0 + -0.143

Combine like terms: 0.143 + -0.143 = 0.000
0.000 + 0.143x + 0.286y = 0 + -0.143
0.143x + 0.286y = 0 + -0.143

Combine like terms: 0 + -0.143 = -0.143
0.143x + 0.286y = -0.143

Add '-0.286y' to each side of the equation.
0.143x + 0.286y + -0.286y = -0.143 + -0.286y

Combine like terms: 0.286y + -0.286y = 0.000
0.143x + 0.000 = -0.143 + -0.286y
0.143x = -0.143 + -0.286y

Divide each side by '0.143'.
x = -1 + -2y

Simplifying
x = -1 + -2y

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