-7(b+3)-6=-8-5(b+3)

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Solution for -7(b+3)-6=-8-5(b+3) equation:


Simplifying
-7(b + 3) + -6 = -8 + -5(b + 3)

Reorder the terms:
-7(3 + b) + -6 = -8 + -5(b + 3)
(3 * -7 + b * -7) + -6 = -8 + -5(b + 3)
(-21 + -7b) + -6 = -8 + -5(b + 3)

Reorder the terms:
-21 + -6 + -7b = -8 + -5(b + 3)

Combine like terms: -21 + -6 = -27
-27 + -7b = -8 + -5(b + 3)

Reorder the terms:
-27 + -7b = -8 + -5(3 + b)
-27 + -7b = -8 + (3 * -5 + b * -5)
-27 + -7b = -8 + (-15 + -5b)

Combine like terms: -8 + -15 = -23
-27 + -7b = -23 + -5b

Solving
-27 + -7b = -23 + -5b

Solving for variable 'b'.

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

Add '5b' to each side of the equation.
-27 + -7b + 5b = -23 + -5b + 5b

Combine like terms: -7b + 5b = -2b
-27 + -2b = -23 + -5b + 5b

Combine like terms: -5b + 5b = 0
-27 + -2b = -23 + 0
-27 + -2b = -23

Add '27' to each side of the equation.
-27 + 27 + -2b = -23 + 27

Combine like terms: -27 + 27 = 0
0 + -2b = -23 + 27
-2b = -23 + 27

Combine like terms: -23 + 27 = 4
-2b = 4

Divide each side by '-2'.
b = -2

Simplifying
b = -2

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