3b-5(b-4)=b+8

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Solution for 3b-5(b-4)=b+8 equation:


Simplifying
3b + -5(b + -4) = b + 8

Reorder the terms:
3b + -5(-4 + b) = b + 8
3b + (-4 * -5 + b * -5) = b + 8
3b + (20 + -5b) = b + 8

Reorder the terms:
20 + 3b + -5b = b + 8

Combine like terms: 3b + -5b = -2b
20 + -2b = b + 8

Reorder the terms:
20 + -2b = 8 + b

Solving
20 + -2b = 8 + b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
20 + -2b + -1b = 8 + b + -1b

Combine like terms: -2b + -1b = -3b
20 + -3b = 8 + b + -1b

Combine like terms: b + -1b = 0
20 + -3b = 8 + 0
20 + -3b = 8

Add '-20' to each side of the equation.
20 + -20 + -3b = 8 + -20

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

Combine like terms: 8 + -20 = -12
-3b = -12

Divide each side by '-3'.
b = 4

Simplifying
b = 4

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