3(4b+7)=5(2b+11)

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Solution for 3(4b+7)=5(2b+11) equation:


Simplifying
3(4b + 7) = 5(2b + 11)

Reorder the terms:
3(7 + 4b) = 5(2b + 11)
(7 * 3 + 4b * 3) = 5(2b + 11)
(21 + 12b) = 5(2b + 11)

Reorder the terms:
21 + 12b = 5(11 + 2b)
21 + 12b = (11 * 5 + 2b * 5)
21 + 12b = (55 + 10b)

Solving
21 + 12b = 55 + 10b

Solving for variable 'b'.

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

Add '-10b' to each side of the equation.
21 + 12b + -10b = 55 + 10b + -10b

Combine like terms: 12b + -10b = 2b
21 + 2b = 55 + 10b + -10b

Combine like terms: 10b + -10b = 0
21 + 2b = 55 + 0
21 + 2b = 55

Add '-21' to each side of the equation.
21 + -21 + 2b = 55 + -21

Combine like terms: 21 + -21 = 0
0 + 2b = 55 + -21
2b = 55 + -21

Combine like terms: 55 + -21 = 34
2b = 34

Divide each side by '2'.
b = 17

Simplifying
b = 17

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