6(b+5)=4(b+9)

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Solution for 6(b+5)=4(b+9) equation:


Simplifying
6(b + 5) = 4(b + 9)

Reorder the terms:
6(5 + b) = 4(b + 9)
(5 * 6 + b * 6) = 4(b + 9)
(30 + 6b) = 4(b + 9)

Reorder the terms:
30 + 6b = 4(9 + b)
30 + 6b = (9 * 4 + b * 4)
30 + 6b = (36 + 4b)

Solving
30 + 6b = 36 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
30 + 6b + -4b = 36 + 4b + -4b

Combine like terms: 6b + -4b = 2b
30 + 2b = 36 + 4b + -4b

Combine like terms: 4b + -4b = 0
30 + 2b = 36 + 0
30 + 2b = 36

Add '-30' to each side of the equation.
30 + -30 + 2b = 36 + -30

Combine like terms: 30 + -30 = 0
0 + 2b = 36 + -30
2b = 36 + -30

Combine like terms: 36 + -30 = 6
2b = 6

Divide each side by '2'.
b = 3

Simplifying
b = 3

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