51.2x+3.7=22x-4.5

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Solution for 51.2x+3.7=22x-4.5 equation: 


Simplifying
51.2x + 3.7 = 22x + -4.5

Reorder the terms:
3.7 + 51.2x = 22x + -4.5

Reorder the terms:
3.7 + 51.2x = -4.5 + 22x

Solving
3.7 + 51.2x = -4.5 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
3.7 + 51.2x + -22x = -4.5 + 22x + -22x

Combine like terms: 51.2x + -22x = 29.2x
3.7 + 29.2x = -4.5 + 22x + -22x

Combine like terms: 22x + -22x = 0
3.7 + 29.2x = -4.5 + 0
3.7 + 29.2x = -4.5

Add '-3.7' to each side of the equation.
3.7 + -3.7 + 29.2x = -4.5 + -3.7

Combine like terms: 3.7 + -3.7 = 0.0
0.0 + 29.2x = -4.5 + -3.7
29.2x = -4.5 + -3.7

Combine like terms: -4.5 + -3.7 = -8.2
29.2x = -8.2

Divide each side by '29.2'.
x = -0.2808219178

Simplifying
x = -0.2808219178

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