3b+7=5b+13

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Solution for 3b+7=5b+13 equation:


Simplifying
3b + 7 = 5b + 13

Reorder the terms:
7 + 3b = 5b + 13

Reorder the terms:
7 + 3b = 13 + 5b

Solving
7 + 3b = 13 + 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.
7 + 3b + -5b = 13 + 5b + -5b

Combine like terms: 3b + -5b = -2b
7 + -2b = 13 + 5b + -5b

Combine like terms: 5b + -5b = 0
7 + -2b = 13 + 0
7 + -2b = 13

Add '-7' to each side of the equation.
7 + -7 + -2b = 13 + -7

Combine like terms: 7 + -7 = 0
0 + -2b = 13 + -7
-2b = 13 + -7

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

Divide each side by '-2'.
b = -3

Simplifying
b = -3

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