2.5x+46.8=14.7-8.2x

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Solution for 2.5x+46.8=14.7-8.2x equation: 


Simplifying
2.5x + 46.8 = 14.7 + -8.2x

Reorder the terms:
46.8 + 2.5x = 14.7 + -8.2x

Solving
46.8 + 2.5x = 14.7 + -8.2x

Solving for variable 'x'.

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

Add '8.2x' to each side of the equation.
46.8 + 2.5x + 8.2x = 14.7 + -8.2x + 8.2x

Combine like terms: 2.5x + 8.2x = 10.7x
46.8 + 10.7x = 14.7 + -8.2x + 8.2x

Combine like terms: -8.2x + 8.2x = 0.0
46.8 + 10.7x = 14.7 + 0.0
46.8 + 10.7x = 14.7

Add '-46.8' to each side of the equation.
46.8 + -46.8 + 10.7x = 14.7 + -46.8

Combine like terms: 46.8 + -46.8 = 0.0
0.0 + 10.7x = 14.7 + -46.8
10.7x = 14.7 + -46.8

Combine like terms: 14.7 + -46.8 = -32.1
10.7x = -32.1

Divide each side by '10.7'.
x = -3

Simplifying
x = -3

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