4.6x+46.8=21.8-7.9x

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Solution for 4.6x+46.8=21.8-7.9x equation: 


Simplifying
4.6x + 46.8 = 21.8 + -7.9x

Reorder the terms:
46.8 + 4.6x = 21.8 + -7.9x

Solving
46.8 + 4.6x = 21.8 + -7.9x

Solving for variable 'x'.

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

Add '7.9x' to each side of the equation.
46.8 + 4.6x + 7.9x = 21.8 + -7.9x + 7.9x

Combine like terms: 4.6x + 7.9x = 12.5x
46.8 + 12.5x = 21.8 + -7.9x + 7.9x

Combine like terms: -7.9x + 7.9x = 0.0
46.8 + 12.5x = 21.8 + 0.0
46.8 + 12.5x = 21.8

Add '-46.8' to each side of the equation.
46.8 + -46.8 + 12.5x = 21.8 + -46.8

Combine like terms: 46.8 + -46.8 = 0.0
0.0 + 12.5x = 21.8 + -46.8
12.5x = 21.8 + -46.8

Combine like terms: 21.8 + -46.8 = -25
12.5x = -25

Divide each side by '12.5'.
x = -2

Simplifying
x = -2

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