4.6x+51.9=19.5-6.2x

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Solution for 4.6x+51.9=19.5-6.2x equation: 


Simplifying
4.6x + 51.9 = 19.5 + -6.2x

Reorder the terms:
51.9 + 4.6x = 19.5 + -6.2x

Solving
51.9 + 4.6x = 19.5 + -6.2x

Solving for variable 'x'.

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

Add '6.2x' to each side of the equation.
51.9 + 4.6x + 6.2x = 19.5 + -6.2x + 6.2x

Combine like terms: 4.6x + 6.2x = 10.8x
51.9 + 10.8x = 19.5 + -6.2x + 6.2x

Combine like terms: -6.2x + 6.2x = 0.0
51.9 + 10.8x = 19.5 + 0.0
51.9 + 10.8x = 19.5

Add '-51.9' to each side of the equation.
51.9 + -51.9 + 10.8x = 19.5 + -51.9

Combine like terms: 51.9 + -51.9 = 0.0
0.0 + 10.8x = 19.5 + -51.9
10.8x = 19.5 + -51.9

Combine like terms: 19.5 + -51.9 = -32.4
10.8x = -32.4

Divide each side by '10.8'.
x = -3

Simplifying
x = -3

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