10.9x-6.5=-10.1x+11.3

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Solution for 10.9x-6.5=-10.1x+11.3 equation: 


Simplifying
10.9x + -6.5 = -10.1x + 11.3

Reorder the terms:
-6.5 + 10.9x = -10.1x + 11.3

Reorder the terms:
-6.5 + 10.9x = 11.3 + -10.1x

Solving
-6.5 + 10.9x = 11.3 + -10.1x

Solving for variable 'x'.

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

Add '10.1x' to each side of the equation.
-6.5 + 10.9x + 10.1x = 11.3 + -10.1x + 10.1x

Combine like terms: 10.9x + 10.1x = 21x
-6.5 + 21x = 11.3 + -10.1x + 10.1x

Combine like terms: -10.1x + 10.1x = 0.0
-6.5 + 21x = 11.3 + 0.0
-6.5 + 21x = 11.3

Add '6.5' to each side of the equation.
-6.5 + 6.5 + 21x = 11.3 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + 21x = 11.3 + 6.5
21x = 11.3 + 6.5

Combine like terms: 11.3 + 6.5 = 17.8
21x = 17.8

Divide each side by '21'.
x = 0.8476190476

Simplifying
x = 0.8476190476

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