0.387*546*(89.5-x)=4.184*159*(x-22.8)

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Solution for 0.387*546*(89.5-x)=4.184*159*(x-22.8) equation:


Simplifying
0.387 * 546(89.5 + -1x) = 4.184 * 159(x + -22.8)

Multiply 0.387 * 546
211.302(89.5 + -1x) = 4.184 * 159(x + -22.8)
(89.5 * 211.302 + -1x * 211.302) = 4.184 * 159(x + -22.8)
(18911.529 + -211.302x) = 4.184 * 159(x + -22.8)

Reorder the terms:
18911.529 + -211.302x = 4.184 * 159(-22.8 + x)

Multiply 4.184 * 159
18911.529 + -211.302x = 665.256(-22.8 + x)
18911.529 + -211.302x = (-22.8 * 665.256 + x * 665.256)
18911.529 + -211.302x = (-15167.8368 + 665.256x)

Solving
18911.529 + -211.302x = -15167.8368 + 665.256x

Solving for variable 'x'.

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

Add '-665.256x' to each side of the equation.
18911.529 + -211.302x + -665.256x = -15167.8368 + 665.256x + -665.256x

Combine like terms: -211.302x + -665.256x = -876.558x
18911.529 + -876.558x = -15167.8368 + 665.256x + -665.256x

Combine like terms: 665.256x + -665.256x = 0.000
18911.529 + -876.558x = -15167.8368 + 0.000
18911.529 + -876.558x = -15167.8368

Add '-18911.529' to each side of the equation.
18911.529 + -18911.529 + -876.558x = -15167.8368 + -18911.529

Combine like terms: 18911.529 + -18911.529 = 0.000
0.000 + -876.558x = -15167.8368 + -18911.529
-876.558x = -15167.8368 + -18911.529

Combine like terms: -15167.8368 + -18911.529 = -34079.3658
-876.558x = -34079.3658

Divide each side by '-876.558'.
x = 38.87862047

Simplifying
x = 38.87862047

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