3b+15=7b-21

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Solution for 3b+15=7b-21 equation:


Simplifying
3b + 15 = 7b + -21

Reorder the terms:
15 + 3b = 7b + -21

Reorder the terms:
15 + 3b = -21 + 7b

Solving
15 + 3b = -21 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
15 + 3b + -7b = -21 + 7b + -7b

Combine like terms: 3b + -7b = -4b
15 + -4b = -21 + 7b + -7b

Combine like terms: 7b + -7b = 0
15 + -4b = -21 + 0
15 + -4b = -21

Add '-15' to each side of the equation.
15 + -15 + -4b = -21 + -15

Combine like terms: 15 + -15 = 0
0 + -4b = -21 + -15
-4b = -21 + -15

Combine like terms: -21 + -15 = -36
-4b = -36

Divide each side by '-4'.
b = 9

Simplifying
b = 9

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