2.4x+47.3=15.2-8.3x

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Solution for 2.4x+47.3=15.2-8.3x equation: 


Simplifying
2.4x + 47.3 = 15.2 + -8.3x

Reorder the terms:
47.3 + 2.4x = 15.2 + -8.3x

Solving
47.3 + 2.4x = 15.2 + -8.3x

Solving for variable 'x'.

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

Add '8.3x' to each side of the equation.
47.3 + 2.4x + 8.3x = 15.2 + -8.3x + 8.3x

Combine like terms: 2.4x + 8.3x = 10.7x
47.3 + 10.7x = 15.2 + -8.3x + 8.3x

Combine like terms: -8.3x + 8.3x = 0.0
47.3 + 10.7x = 15.2 + 0.0
47.3 + 10.7x = 15.2

Add '-47.3' to each side of the equation.
47.3 + -47.3 + 10.7x = 15.2 + -47.3

Combine like terms: 47.3 + -47.3 = 0.0
0.0 + 10.7x = 15.2 + -47.3
10.7x = 15.2 + -47.3

Combine like terms: 15.2 + -47.3 = -32.1
10.7x = -32.1

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

Simplifying
x = -3

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