9(b-4)-7b=15(3b-2)

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Solution for 9(b-4)-7b=15(3b-2) equation:


Simplifying
9(b + -4) + -7b = 15(3b + -2)

Reorder the terms:
9(-4 + b) + -7b = 15(3b + -2)
(-4 * 9 + b * 9) + -7b = 15(3b + -2)
(-36 + 9b) + -7b = 15(3b + -2)

Combine like terms: 9b + -7b = 2b
-36 + 2b = 15(3b + -2)

Reorder the terms:
-36 + 2b = 15(-2 + 3b)
-36 + 2b = (-2 * 15 + 3b * 15)
-36 + 2b = (-30 + 45b)

Solving
-36 + 2b = -30 + 45b

Solving for variable 'b'.

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

Add '-45b' to each side of the equation.
-36 + 2b + -45b = -30 + 45b + -45b

Combine like terms: 2b + -45b = -43b
-36 + -43b = -30 + 45b + -45b

Combine like terms: 45b + -45b = 0
-36 + -43b = -30 + 0
-36 + -43b = -30

Add '36' to each side of the equation.
-36 + 36 + -43b = -30 + 36

Combine like terms: -36 + 36 = 0
0 + -43b = -30 + 36
-43b = -30 + 36

Combine like terms: -30 + 36 = 6
-43b = 6

Divide each side by '-43'.
b = -0.1395348837

Simplifying
b = -0.1395348837

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