5x+5.8=6.4x-5.82

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Solution for 5x+5.8=6.4x-5.82 equation: 


Simplifying
5x + 5.8 = 6.4x + -5.82

Reorder the terms:
5.8 + 5x = 6.4x + -5.82

Reorder the terms:
5.8 + 5x = -5.82 + 6.4x

Solving
5.8 + 5x = -5.82 + 6.4x

Solving for variable 'x'.

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

Add '-6.4x' to each side of the equation.
5.8 + 5x + -6.4x = -5.82 + 6.4x + -6.4x

Combine like terms: 5x + -6.4x = -1.4x
5.8 + -1.4x = -5.82 + 6.4x + -6.4x

Combine like terms: 6.4x + -6.4x = 0.0
5.8 + -1.4x = -5.82 + 0.0
5.8 + -1.4x = -5.82

Add '-5.8' to each side of the equation.
5.8 + -5.8 + -1.4x = -5.82 + -5.8

Combine like terms: 5.8 + -5.8 = 0.0
0.0 + -1.4x = -5.82 + -5.8
-1.4x = -5.82 + -5.8

Combine like terms: -5.82 + -5.8 = -11.62
-1.4x = -11.62

Divide each side by '-1.4'.
x = 8.3

Simplifying
x = 8.3

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