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

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


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

Reorder the terms:
5(-8 + b) = 4(b + 7)
(-8 * 5 + b * 5) = 4(b + 7)
(-40 + 5b) = 4(b + 7)

Reorder the terms:
-40 + 5b = 4(7 + b)
-40 + 5b = (7 * 4 + b * 4)
-40 + 5b = (28 + 4b)

Solving
-40 + 5b = 28 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
-40 + 5b + -4b = 28 + 4b + -4b

Combine like terms: 5b + -4b = 1b
-40 + 1b = 28 + 4b + -4b

Combine like terms: 4b + -4b = 0
-40 + 1b = 28 + 0
-40 + 1b = 28

Add '40' to each side of the equation.
-40 + 40 + 1b = 28 + 40

Combine like terms: -40 + 40 = 0
0 + 1b = 28 + 40
1b = 28 + 40

Combine like terms: 28 + 40 = 68
1b = 68

Divide each side by '1'.
b = 68

Simplifying
b = 68

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