5(b-1)=2(b-4)

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Solution for 5(b-1)=2(b-4) equation:


Simplifying
5(b + -1) = 2(b + -4)

Reorder the terms:
5(-1 + b) = 2(b + -4)
(-1 * 5 + b * 5) = 2(b + -4)
(-5 + 5b) = 2(b + -4)

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

Solving
-5 + 5b = -8 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
-5 + 5b + -2b = -8 + 2b + -2b

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

Combine like terms: 2b + -2b = 0
-5 + 3b = -8 + 0
-5 + 3b = -8

Add '5' to each side of the equation.
-5 + 5 + 3b = -8 + 5

Combine like terms: -5 + 5 = 0
0 + 3b = -8 + 5
3b = -8 + 5

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

Divide each side by '3'.
b = -1

Simplifying
b = -1

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