9(b-4)-3b=5(2b-8)

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Solution for 9(b-4)-3b=5(2b-8) equation:


Simplifying
9(b + -4) + -3b = 5(2b + -8)

Reorder the terms:
9(-4 + b) + -3b = 5(2b + -8)
(-4 * 9 + b * 9) + -3b = 5(2b + -8)
(-36 + 9b) + -3b = 5(2b + -8)

Combine like terms: 9b + -3b = 6b
-36 + 6b = 5(2b + -8)

Reorder the terms:
-36 + 6b = 5(-8 + 2b)
-36 + 6b = (-8 * 5 + 2b * 5)
-36 + 6b = (-40 + 10b)

Solving
-36 + 6b = -40 + 10b

Solving for variable 'b'.

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

Add '-10b' to each side of the equation.
-36 + 6b + -10b = -40 + 10b + -10b

Combine like terms: 6b + -10b = -4b
-36 + -4b = -40 + 10b + -10b

Combine like terms: 10b + -10b = 0
-36 + -4b = -40 + 0
-36 + -4b = -40

Add '36' to each side of the equation.
-36 + 36 + -4b = -40 + 36

Combine like terms: -36 + 36 = 0
0 + -4b = -40 + 36
-4b = -40 + 36

Combine like terms: -40 + 36 = -4
-4b = -4

Divide each side by '-4'.
b = 1

Simplifying
b = 1

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