53.7x-10.1=46.3x+4.7

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Solution for 53.7x-10.1=46.3x+4.7 equation: 


Simplifying
53.7x + -10.1 = 46.3x + 4.7

Reorder the terms:
-10.1 + 53.7x = 46.3x + 4.7

Reorder the terms:
-10.1 + 53.7x = 4.7 + 46.3x

Solving
-10.1 + 53.7x = 4.7 + 46.3x

Solving for variable 'x'.

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

Add '-46.3x' to each side of the equation.
-10.1 + 53.7x + -46.3x = 4.7 + 46.3x + -46.3x

Combine like terms: 53.7x + -46.3x = 7.4x
-10.1 + 7.4x = 4.7 + 46.3x + -46.3x

Combine like terms: 46.3x + -46.3x = 0.0
-10.1 + 7.4x = 4.7 + 0.0
-10.1 + 7.4x = 4.7

Add '10.1' to each side of the equation.
-10.1 + 10.1 + 7.4x = 4.7 + 10.1

Combine like terms: -10.1 + 10.1 = 0.0
0.0 + 7.4x = 4.7 + 10.1
7.4x = 4.7 + 10.1

Combine like terms: 4.7 + 10.1 = 14.8
7.4x = 14.8

Divide each side by '7.4'.
x = 2

Simplifying
x = 2

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