3x-3.5=6.4x-16.42

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Solution for 3x-3.5=6.4x-16.42 equation: 


Simplifying
3x + -3.5 = 6.4x + -16.42

Reorder the terms:
-3.5 + 3x = 6.4x + -16.42

Reorder the terms:
-3.5 + 3x = -16.42 + 6.4x

Solving
-3.5 + 3x = -16.42 + 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.
-3.5 + 3x + -6.4x = -16.42 + 6.4x + -6.4x

Combine like terms: 3x + -6.4x = -3.4x
-3.5 + -3.4x = -16.42 + 6.4x + -6.4x

Combine like terms: 6.4x + -6.4x = 0.0
-3.5 + -3.4x = -16.42 + 0.0
-3.5 + -3.4x = -16.42

Add '3.5' to each side of the equation.
-3.5 + 3.5 + -3.4x = -16.42 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + -3.4x = -16.42 + 3.5
-3.4x = -16.42 + 3.5

Combine like terms: -16.42 + 3.5 = -12.92
-3.4x = -12.92

Divide each side by '-3.4'.
x = 3.8

Simplifying
x = 3.8

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