4.3(b+5)=4(2b-5)

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Solution for 4.3(b+5)=4(2b-5) equation: 


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

Reorder the terms:
4.3(5 + b) = 4(2b + -5)
(5 * 4.3 + b * 4.3) = 4(2b + -5)
(21.5 + 4.3b) = 4(2b + -5)

Reorder the terms:
21.5 + 4.3b = 4(-5 + 2b)
21.5 + 4.3b = (-5 * 4 + 2b * 4)
21.5 + 4.3b = (-20 + 8b)

Solving
21.5 + 4.3b = -20 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
21.5 + 4.3b + -8b = -20 + 8b + -8b

Combine like terms: 4.3b + -8b = -3.7b
21.5 + -3.7b = -20 + 8b + -8b

Combine like terms: 8b + -8b = 0
21.5 + -3.7b = -20 + 0
21.5 + -3.7b = -20

Add '-21.5' to each side of the equation.
21.5 + -21.5 + -3.7b = -20 + -21.5

Combine like terms: 21.5 + -21.5 = 0.0
0.0 + -3.7b = -20 + -21.5
-3.7b = -20 + -21.5

Combine like terms: -20 + -21.5 = -41.5
-3.7b = -41.5

Divide each side by '-3.7'.
b = 11.21621622

Simplifying
b = 11.21621622

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