3(b+7)=4b+15

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Solution for 3(b+7)=4b+15 equation:


Simplifying
3(b + 7) = 4b + 15

Reorder the terms:
3(7 + b) = 4b + 15
(7 * 3 + b * 3) = 4b + 15
(21 + 3b) = 4b + 15

Reorder the terms:
21 + 3b = 15 + 4b

Solving
21 + 3b = 15 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
21 + 3b + -4b = 15 + 4b + -4b

Combine like terms: 3b + -4b = -1b
21 + -1b = 15 + 4b + -4b

Combine like terms: 4b + -4b = 0
21 + -1b = 15 + 0
21 + -1b = 15

Add '-21' to each side of the equation.
21 + -21 + -1b = 15 + -21

Combine like terms: 21 + -21 = 0
0 + -1b = 15 + -21
-1b = 15 + -21

Combine like terms: 15 + -21 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6

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