4.7x-12.2=-5.3x-8.1

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Solution for 4.7x-12.2=-5.3x-8.1 equation: 


Simplifying
4.7x + -12.2 = -5.3x + -8.1

Reorder the terms:
-12.2 + 4.7x = -5.3x + -8.1

Reorder the terms:
-12.2 + 4.7x = -8.1 + -5.3x

Solving
-12.2 + 4.7x = -8.1 + -5.3x

Solving for variable 'x'.

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

Add '5.3x' to each side of the equation.
-12.2 + 4.7x + 5.3x = -8.1 + -5.3x + 5.3x

Combine like terms: 4.7x + 5.3x = 10x
-12.2 + 10x = -8.1 + -5.3x + 5.3x

Combine like terms: -5.3x + 5.3x = 0.0
-12.2 + 10x = -8.1 + 0.0
-12.2 + 10x = -8.1

Add '12.2' to each side of the equation.
-12.2 + 12.2 + 10x = -8.1 + 12.2

Combine like terms: -12.2 + 12.2 = 0.0
0.0 + 10x = -8.1 + 12.2
10x = -8.1 + 12.2

Combine like terms: -8.1 + 12.2 = 4.1
10x = 4.1

Divide each side by '10'.
x = 0.41

Simplifying
x = 0.41

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