(5b-7)=(3b+6)

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


Simplifying
(5b + -7) = (3b + 6)

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

Remove parenthesis around (-7 + 5b)
-7 + 5b = (3b + 6)

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

Remove parenthesis around (6 + 3b)
-7 + 5b = 6 + 3b

Solving
-7 + 5b = 6 + 3b

Solving for variable 'b'.

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

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

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

Combine like terms: 3b + -3b = 0
-7 + 2b = 6 + 0
-7 + 2b = 6

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

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

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

Divide each side by '2'.
b = 6.5

Simplifying
b = 6.5

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