9(b-4)-7b=5(3b-2)

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Solution for 9(b-4)-7b=5(3b-2) equation:


Simplifying
9(b + -4) + -7b = 5(3b + -2)

Reorder the terms:
9(-4 + b) + -7b = 5(3b + -2)
(-4 * 9 + b * 9) + -7b = 5(3b + -2)
(-36 + 9b) + -7b = 5(3b + -2)

Combine like terms: 9b + -7b = 2b
-36 + 2b = 5(3b + -2)

Reorder the terms:
-36 + 2b = 5(-2 + 3b)
-36 + 2b = (-2 * 5 + 3b * 5)
-36 + 2b = (-10 + 15b)

Solving
-36 + 2b = -10 + 15b

Solving for variable 'b'.

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

Add '-15b' to each side of the equation.
-36 + 2b + -15b = -10 + 15b + -15b

Combine like terms: 2b + -15b = -13b
-36 + -13b = -10 + 15b + -15b

Combine like terms: 15b + -15b = 0
-36 + -13b = -10 + 0
-36 + -13b = -10

Add '36' to each side of the equation.
-36 + 36 + -13b = -10 + 36

Combine like terms: -36 + 36 = 0
0 + -13b = -10 + 36
-13b = -10 + 36

Combine like terms: -10 + 36 = 26
-13b = 26

Divide each side by '-13'.
b = -2

Simplifying
b = -2

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