2(b+5)=3(4-b)

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Solution for 2(b+5)=3(4-b) equation: 


Simplifying
2(b + 5) = 3(4 + -1b)

Reorder the terms:
2(5 + b) = 3(4 + -1b)
(5 * 2 + b * 2) = 3(4 + -1b)
(10 + 2b) = 3(4 + -1b)
10 + 2b = (4 * 3 + -1b * 3)
10 + 2b = (12 + -3b)

Solving
10 + 2b = 12 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
10 + 2b + 3b = 12 + -3b + 3b

Combine like terms: 2b + 3b = 5b
10 + 5b = 12 + -3b + 3b

Combine like terms: -3b + 3b = 0
10 + 5b = 12 + 0
10 + 5b = 12

Add '-10' to each side of the equation.
10 + -10 + 5b = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 5b = 12 + -10
5b = 12 + -10

Combine like terms: 12 + -10 = 2
5b = 2

Divide each side by '5'.
b = 0.4

Simplifying
b = 0.4

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