2.4x+52.8=20.4-13.8x

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Solution for 2.4x+52.8=20.4-13.8x equation: 


Simplifying
2.4x + 52.8 = 20.4 + -13.8x

Reorder the terms:
52.8 + 2.4x = 20.4 + -13.8x

Solving
52.8 + 2.4x = 20.4 + -13.8x

Solving for variable 'x'.

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

Add '13.8x' to each side of the equation.
52.8 + 2.4x + 13.8x = 20.4 + -13.8x + 13.8x

Combine like terms: 2.4x + 13.8x = 16.2x
52.8 + 16.2x = 20.4 + -13.8x + 13.8x

Combine like terms: -13.8x + 13.8x = 0.0
52.8 + 16.2x = 20.4 + 0.0
52.8 + 16.2x = 20.4

Add '-52.8' to each side of the equation.
52.8 + -52.8 + 16.2x = 20.4 + -52.8

Combine like terms: 52.8 + -52.8 = 0.0
0.0 + 16.2x = 20.4 + -52.8
16.2x = 20.4 + -52.8

Combine like terms: 20.4 + -52.8 = -32.4
16.2x = -32.4

Divide each side by '16.2'.
x = -2

Simplifying
x = -2

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