8.3(b-4)=5b-2

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Solution for 8.3(b-4)=5b-2 equation: 


Simplifying
8.3(b + -4) = 5b + -2

Reorder the terms:
8.3(-4 + b) = 5b + -2
(-4 * 8.3 + b * 8.3) = 5b + -2
(-33.2 + 8.3b) = 5b + -2

Reorder the terms:
-33.2 + 8.3b = -2 + 5b

Solving
-33.2 + 8.3b = -2 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
-33.2 + 8.3b + -5b = -2 + 5b + -5b

Combine like terms: 8.3b + -5b = 3.3b
-33.2 + 3.3b = -2 + 5b + -5b

Combine like terms: 5b + -5b = 0
-33.2 + 3.3b = -2 + 0
-33.2 + 3.3b = -2

Add '33.2' to each side of the equation.
-33.2 + 33.2 + 3.3b = -2 + 33.2

Combine like terms: -33.2 + 33.2 = 0.0
0.0 + 3.3b = -2 + 33.2
3.3b = -2 + 33.2

Combine like terms: -2 + 33.2 = 31.2
3.3b = 31.2

Divide each side by '3.3'.
b = 9.454545455

Simplifying
b = 9.454545455

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