5(b-3)=(b-2)

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Solution for 5(b-3)=(b-2) equation:


Simplifying
5(b + -3) = (b + -2)

Reorder the terms:
5(-3 + b) = (b + -2)
(-3 * 5 + b * 5) = (b + -2)
(-15 + 5b) = (b + -2)

Reorder the terms:
-15 + 5b = (-2 + b)

Remove parenthesis around (-2 + b)
-15 + 5b = -2 + b

Solving
-15 + 5b = -2 + 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.
-15 + 5b + -1b = -2 + b + -1b

Combine like terms: 5b + -1b = 4b
-15 + 4b = -2 + b + -1b

Combine like terms: b + -1b = 0
-15 + 4b = -2 + 0
-15 + 4b = -2

Add '15' to each side of the equation.
-15 + 15 + 4b = -2 + 15

Combine like terms: -15 + 15 = 0
0 + 4b = -2 + 15
4b = -2 + 15

Combine like terms: -2 + 15 = 13
4b = 13

Divide each side by '4'.
b = 3.25

Simplifying
b = 3.25

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