3b+6=5b-7

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Solution for 3b+6=5b-7 equation:


Simplifying
3b + 6 = 5b + -7

Reorder the terms:
6 + 3b = 5b + -7

Reorder the terms:
6 + 3b = -7 + 5b

Solving
6 + 3b = -7 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
6 + 3b + -5b = -7 + 5b + -5b

Combine like terms: 3b + -5b = -2b
6 + -2b = -7 + 5b + -5b

Combine like terms: 5b + -5b = 0
6 + -2b = -7 + 0
6 + -2b = -7

Add '-6' to each side of the equation.
6 + -6 + -2b = -7 + -6

Combine like terms: 6 + -6 = 0
0 + -2b = -7 + -6
-2b = -7 + -6

Combine like terms: -7 + -6 = -13
-2b = -13

Divide each side by '-2'.
b = 6.5

Simplifying
b = 6.5

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