3(b+2)+5=8b+13

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Solution for 3(b+2)+5=8b+13 equation: 


Simplifying
3(b + 2) + 5 = 8b + 13

Reorder the terms:
3(2 + b) + 5 = 8b + 13
(2 * 3 + b * 3) + 5 = 8b + 13
(6 + 3b) + 5 = 8b + 13

Reorder the terms:
6 + 5 + 3b = 8b + 13

Combine like terms: 6 + 5 = 11
11 + 3b = 8b + 13

Reorder the terms:
11 + 3b = 13 + 8b

Solving
11 + 3b = 13 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
11 + 3b + -8b = 13 + 8b + -8b

Combine like terms: 3b + -8b = -5b
11 + -5b = 13 + 8b + -8b

Combine like terms: 8b + -8b = 0
11 + -5b = 13 + 0
11 + -5b = 13

Add '-11' to each side of the equation.
11 + -11 + -5b = 13 + -11

Combine like terms: 11 + -11 = 0
0 + -5b = 13 + -11
-5b = 13 + -11

Combine like terms: 13 + -11 = 2
-5b = 2

Divide each side by '-5'.
b = -0.4

Simplifying
b = -0.4

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