500-x=585.7-1.8x

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Solution for 500-x=585.7-1.8x equation: 


Simplifying
500 + -1x = 585.7 + -1.8x

Solving
500 + -1x = 585.7 + -1.8x

Solving for variable 'x'.

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

Add '1.8x' to each side of the equation.
500 + -1x + 1.8x = 585.7 + -1.8x + 1.8x

Combine like terms: -1x + 1.8x = 0.8x
500 + 0.8x = 585.7 + -1.8x + 1.8x

Combine like terms: -1.8x + 1.8x = 0.0
500 + 0.8x = 585.7 + 0.0
500 + 0.8x = 585.7

Add '-500' to each side of the equation.
500 + -500 + 0.8x = 585.7 + -500

Combine like terms: 500 + -500 = 0
0 + 0.8x = 585.7 + -500
0.8x = 585.7 + -500

Combine like terms: 585.7 + -500 = 85.7
0.8x = 85.7

Divide each side by '0.8'.
x = 107.125

Simplifying
x = 107.125

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