-3(b+7)=4(6-2b)

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Solution for -3(b+7)=4(6-2b) equation:


Simplifying
-3(b + 7) = 4(6 + -2b)

Reorder the terms:
-3(7 + b) = 4(6 + -2b)
(7 * -3 + b * -3) = 4(6 + -2b)
(-21 + -3b) = 4(6 + -2b)
-21 + -3b = (6 * 4 + -2b * 4)
-21 + -3b = (24 + -8b)

Solving
-21 + -3b = 24 + -8b

Solving for variable 'b'.

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

Add '8b' to each side of the equation.
-21 + -3b + 8b = 24 + -8b + 8b

Combine like terms: -3b + 8b = 5b
-21 + 5b = 24 + -8b + 8b

Combine like terms: -8b + 8b = 0
-21 + 5b = 24 + 0
-21 + 5b = 24

Add '21' to each side of the equation.
-21 + 21 + 5b = 24 + 21

Combine like terms: -21 + 21 = 0
0 + 5b = 24 + 21
5b = 24 + 21

Combine like terms: 24 + 21 = 45
5b = 45

Divide each side by '5'.
b = 9

Simplifying
b = 9

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