3(3b+6)=5(b+2)

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Solution for 3(3b+6)=5(b+2) equation:


Simplifying
3(3b + 6) = 5(b + 2)

Reorder the terms:
3(6 + 3b) = 5(b + 2)
(6 * 3 + 3b * 3) = 5(b + 2)
(18 + 9b) = 5(b + 2)

Reorder the terms:
18 + 9b = 5(2 + b)
18 + 9b = (2 * 5 + b * 5)
18 + 9b = (10 + 5b)

Solving
18 + 9b = 10 + 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.
18 + 9b + -5b = 10 + 5b + -5b

Combine like terms: 9b + -5b = 4b
18 + 4b = 10 + 5b + -5b

Combine like terms: 5b + -5b = 0
18 + 4b = 10 + 0
18 + 4b = 10

Add '-18' to each side of the equation.
18 + -18 + 4b = 10 + -18

Combine like terms: 18 + -18 = 0
0 + 4b = 10 + -18
4b = 10 + -18

Combine like terms: 10 + -18 = -8
4b = -8

Divide each side by '4'.
b = -2

Simplifying
b = -2

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