4.5x+52.4=32.0-5.7x

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Solution for 4.5x+52.4=32.0-5.7x equation: 


Simplifying
4.5x + 52.4 = 32.0 + -5.7x

Reorder the terms:
52.4 + 4.5x = 32.0 + -5.7x

Solving
52.4 + 4.5x = 32.0 + -5.7x

Solving for variable 'x'.

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

Add '5.7x' to each side of the equation.
52.4 + 4.5x + 5.7x = 32.0 + -5.7x + 5.7x

Combine like terms: 4.5x + 5.7x = 10.2x
52.4 + 10.2x = 32.0 + -5.7x + 5.7x

Combine like terms: -5.7x + 5.7x = 0.0
52.4 + 10.2x = 32.0 + 0.0
52.4 + 10.2x = 32.0

Add '-52.4' to each side of the equation.
52.4 + -52.4 + 10.2x = 32.0 + -52.4

Combine like terms: 52.4 + -52.4 = 0.0
0.0 + 10.2x = 32.0 + -52.4
10.2x = 32.0 + -52.4

Combine like terms: 32.0 + -52.4 = -20.4
10.2x = -20.4

Divide each side by '10.2'.
x = -2

Simplifying
x = -2

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