5(-4+b)=8(b-7)

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Solution for 5(-4+b)=8(b-7) equation:


Simplifying
5(-4 + b) = 8(b + -7)
(-4 * 5 + b * 5) = 8(b + -7)
(-20 + 5b) = 8(b + -7)

Reorder the terms:
-20 + 5b = 8(-7 + b)
-20 + 5b = (-7 * 8 + b * 8)
-20 + 5b = (-56 + 8b)

Solving
-20 + 5b = -56 + 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.
-20 + 5b + -8b = -56 + 8b + -8b

Combine like terms: 5b + -8b = -3b
-20 + -3b = -56 + 8b + -8b

Combine like terms: 8b + -8b = 0
-20 + -3b = -56 + 0
-20 + -3b = -56

Add '20' to each side of the equation.
-20 + 20 + -3b = -56 + 20

Combine like terms: -20 + 20 = 0
0 + -3b = -56 + 20
-3b = -56 + 20

Combine like terms: -56 + 20 = -36
-3b = -36

Divide each side by '-3'.
b = 12

Simplifying
b = 12

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