2b+5b-7=3b+21

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Solution for 2b+5b-7=3b+21 equation:


Simplifying
2b + 5b + -7 = 3b + 21

Reorder the terms:
-7 + 2b + 5b = 3b + 21

Combine like terms: 2b + 5b = 7b
-7 + 7b = 3b + 21

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

Solving
-7 + 7b = 21 + 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 + 7b + -3b = 21 + 3b + -3b

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

Combine like terms: 3b + -3b = 0
-7 + 4b = 21 + 0
-7 + 4b = 21

Add '7' to each side of the equation.
-7 + 7 + 4b = 21 + 7

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

Combine like terms: 21 + 7 = 28
4b = 28

Divide each side by '4'.
b = 7

Simplifying
b = 7

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