4.6x+45.9=19.3-8.7x

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Solution for 4.6x+45.9=19.3-8.7x equation: 


Simplifying
4.6x + 45.9 = 19.3 + -8.7x

Reorder the terms:
45.9 + 4.6x = 19.3 + -8.7x

Solving
45.9 + 4.6x = 19.3 + -8.7x

Solving for variable 'x'.

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

Add '8.7x' to each side of the equation.
45.9 + 4.6x + 8.7x = 19.3 + -8.7x + 8.7x

Combine like terms: 4.6x + 8.7x = 13.3x
45.9 + 13.3x = 19.3 + -8.7x + 8.7x

Combine like terms: -8.7x + 8.7x = 0.0
45.9 + 13.3x = 19.3 + 0.0
45.9 + 13.3x = 19.3

Add '-45.9' to each side of the equation.
45.9 + -45.9 + 13.3x = 19.3 + -45.9

Combine like terms: 45.9 + -45.9 = 0.0
0.0 + 13.3x = 19.3 + -45.9
13.3x = 19.3 + -45.9

Combine like terms: 19.3 + -45.9 = -26.6
13.3x = -26.6

Divide each side by '13.3'.
x = -2

Simplifying
x = -2

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