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

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


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

Reorder the terms:
5(3 + 2b) = 3(5 + -1b)
(3 * 5 + 2b * 5) = 3(5 + -1b)
(15 + 10b) = 3(5 + -1b)
15 + 10b = (5 * 3 + -1b * 3)
15 + 10b = (15 + -3b)

Add '-15' to each side of the equation.
15 + -15 + 10b = 15 + -15 + -3b

Combine like terms: 15 + -15 = 0
0 + 10b = 15 + -15 + -3b
10b = 15 + -15 + -3b

Combine like terms: 15 + -15 = 0
10b = 0 + -3b
10b = -3b

Solving
10b = -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.
10b + 3b = -3b + 3b

Combine like terms: 10b + 3b = 13b
13b = -3b + 3b

Combine like terms: -3b + 3b = 0
13b = 0

Divide each side by '13'.
b = 0

Simplifying
b = 0

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