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

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


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

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

Remove parenthesis around (2 + b)
2 + b = 8(b + 5)

Reorder the terms:
2 + b = 8(5 + b)
2 + b = (5 * 8 + b * 8)
2 + b = (40 + 8b)

Solving
2 + b = 40 + 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.
2 + b + -8b = 40 + 8b + -8b

Combine like terms: b + -8b = -7b
2 + -7b = 40 + 8b + -8b

Combine like terms: 8b + -8b = 0
2 + -7b = 40 + 0
2 + -7b = 40

Add '-2' to each side of the equation.
2 + -2 + -7b = 40 + -2

Combine like terms: 2 + -2 = 0
0 + -7b = 40 + -2
-7b = 40 + -2

Combine like terms: 40 + -2 = 38
-7b = 38

Divide each side by '-7'.
b = -5.428571429

Simplifying
b = -5.428571429

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