2.17(3.58-4.2x)=18.9-(x+4)

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Solution for 2.17(3.58-4.2x)=18.9-(x+4) equation: 


Simplifying
2.17(3.58 + -4.2x) = 18.9 + -1(x + 4)
(3.58 * 2.17 + -4.2x * 2.17) = 18.9 + -1(x + 4)
(7.7686 + -9.114x) = 18.9 + -1(x + 4)

Reorder the terms:
7.7686 + -9.114x = 18.9 + -1(4 + x)
7.7686 + -9.114x = 18.9 + (4 * -1 + x * -1)
7.7686 + -9.114x = 18.9 + (-4 + -1x)

Combine like terms: 18.9 + -4 = 14.9
7.7686 + -9.114x = 14.9 + -1x

Solving
7.7686 + -9.114x = 14.9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7.7686 + -9.114x + x = 14.9 + -1x + x

Combine like terms: -9.114x + x = -8.114x
7.7686 + -8.114x = 14.9 + -1x + x

Combine like terms: -1x + x = 0
7.7686 + -8.114x = 14.9 + 0
7.7686 + -8.114x = 14.9

Add '-7.7686' to each side of the equation.
7.7686 + -7.7686 + -8.114x = 14.9 + -7.7686

Combine like terms: 7.7686 + -7.7686 = 0.0000
0.0000 + -8.114x = 14.9 + -7.7686
-8.114x = 14.9 + -7.7686

Combine like terms: 14.9 + -7.7686 = 7.1314
-8.114x = 7.1314

Divide each side by '-8.114'.
x = -0.8789006655

Simplifying
x = -0.8789006655

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