3b+7=7b-9

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Solution for 3b+7=7b-9 equation:


Simplifying
3b + 7 = 7b + -9

Reorder the terms:
7 + 3b = 7b + -9

Reorder the terms:
7 + 3b = -9 + 7b

Solving
7 + 3b = -9 + 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.
7 + 3b + -7b = -9 + 7b + -7b

Combine like terms: 3b + -7b = -4b
7 + -4b = -9 + 7b + -7b

Combine like terms: 7b + -7b = 0
7 + -4b = -9 + 0
7 + -4b = -9

Add '-7' to each side of the equation.
7 + -7 + -4b = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -4b = -9 + -7
-4b = -9 + -7

Combine like terms: -9 + -7 = -16
-4b = -16

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

Simplifying
b = 4

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