5(b-4)=2(4b-4)

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Solution for 5(b-4)=2(4b-4) equation:


Simplifying
5(b + -4) = 2(4b + -4)

Reorder the terms:
5(-4 + b) = 2(4b + -4)
(-4 * 5 + b * 5) = 2(4b + -4)
(-20 + 5b) = 2(4b + -4)

Reorder the terms:
-20 + 5b = 2(-4 + 4b)
-20 + 5b = (-4 * 2 + 4b * 2)
-20 + 5b = (-8 + 8b)

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

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

Combine like terms: 8b + -8b = 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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