5b+8.2=6.5b-2.45

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Solution for 5b+8.2=6.5b-2.45 equation: 


Simplifying
5b + 8.2 = 6.5b + -2.45

Reorder the terms:
8.2 + 5b = 6.5b + -2.45

Reorder the terms:
8.2 + 5b = -2.45 + 6.5b

Solving
8.2 + 5b = -2.45 + 6.5b

Solving for variable 'b'.

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

Add '-6.5b' to each side of the equation.
8.2 + 5b + -6.5b = -2.45 + 6.5b + -6.5b

Combine like terms: 5b + -6.5b = -1.5b
8.2 + -1.5b = -2.45 + 6.5b + -6.5b

Combine like terms: 6.5b + -6.5b = 0.0
8.2 + -1.5b = -2.45 + 0.0
8.2 + -1.5b = -2.45

Add '-8.2' to each side of the equation.
8.2 + -8.2 + -1.5b = -2.45 + -8.2

Combine like terms: 8.2 + -8.2 = 0.0
0.0 + -1.5b = -2.45 + -8.2
-1.5b = -2.45 + -8.2

Combine like terms: -2.45 + -8.2 = -10.65
-1.5b = -10.65

Divide each side by '-1.5'.
b = 7.1

Simplifying
b = 7.1

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