5(b+2)=3(b+8)

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Solution for 5(b+2)=3(b+8) equation: 


Simplifying
5(b + 2) = 3(b + 8)

Reorder the terms:
5(2 + b) = 3(b + 8)
(2 * 5 + b * 5) = 3(b + 8)
(10 + 5b) = 3(b + 8)

Reorder the terms:
10 + 5b = 3(8 + b)
10 + 5b = (8 * 3 + b * 3)
10 + 5b = (24 + 3b)

Solving
10 + 5b = 24 + 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 + 5b + -3b = 24 + 3b + -3b

Combine like terms: 5b + -3b = 2b
10 + 2b = 24 + 3b + -3b

Combine like terms: 3b + -3b = 0
10 + 2b = 24 + 0
10 + 2b = 24

Add '-10' to each side of the equation.
10 + -10 + 2b = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 2b = 24 + -10
2b = 24 + -10

Combine like terms: 24 + -10 = 14
2b = 14

Divide each side by '2'.
b = 7

Simplifying
b = 7

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