17.344-5.84=0.1(x+6.4)+4.5x

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Solution for 17.344-5.84=0.1(x+6.4)+4.5x equation: 


Simplifying
17.344 + -5.84 = 0.1(x + 6.4) + 4.5x

Combine like terms: 17.344 + -5.84 = 11.504
11.504 = 0.1(x + 6.4) + 4.5x

Reorder the terms:
11.504 = 0.1(6.4 + x) + 4.5x
11.504 = (6.4 * 0.1 + x * 0.1) + 4.5x
11.504 = (0.64 + 0.1x) + 4.5x

Combine like terms: 0.1x + 4.5x = 4.6x
11.504 = 0.64 + 4.6x

Solving
11.504 = 0.64 + 4.6x

Solving for variable 'x'.

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

Add '-4.6x' to each side of the equation.
11.504 + -4.6x = 0.64 + 4.6x + -4.6x

Combine like terms: 4.6x + -4.6x = 0.0
11.504 + -4.6x = 0.64 + 0.0
11.504 + -4.6x = 0.64

Add '-11.504' to each side of the equation.
11.504 + -11.504 + -4.6x = 0.64 + -11.504

Combine like terms: 11.504 + -11.504 = 0.000
0.000 + -4.6x = 0.64 + -11.504
-4.6x = 0.64 + -11.504

Combine like terms: 0.64 + -11.504 = -10.864
-4.6x = -10.864

Divide each side by '-4.6'.
x = 2.36173913

Simplifying
x = 2.36173913

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