2b+4(2b-3)=9(b+1)

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Solution for 2b+4(2b-3)=9(b+1) equation:


Simplifying
2b + 4(2b + -3) = 9(b + 1)

Reorder the terms:
2b + 4(-3 + 2b) = 9(b + 1)
2b + (-3 * 4 + 2b * 4) = 9(b + 1)
2b + (-12 + 8b) = 9(b + 1)

Reorder the terms:
-12 + 2b + 8b = 9(b + 1)

Combine like terms: 2b + 8b = 10b
-12 + 10b = 9(b + 1)

Reorder the terms:
-12 + 10b = 9(1 + b)
-12 + 10b = (1 * 9 + b * 9)
-12 + 10b = (9 + 9b)

Solving
-12 + 10b = 9 + 9b

Solving for variable 'b'.

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

Add '-9b' to each side of the equation.
-12 + 10b + -9b = 9 + 9b + -9b

Combine like terms: 10b + -9b = 1b
-12 + 1b = 9 + 9b + -9b

Combine like terms: 9b + -9b = 0
-12 + 1b = 9 + 0
-12 + 1b = 9

Add '12' to each side of the equation.
-12 + 12 + 1b = 9 + 12

Combine like terms: -12 + 12 = 0
0 + 1b = 9 + 12
1b = 9 + 12

Combine like terms: 9 + 12 = 21
1b = 21

Divide each side by '1'.
b = 21

Simplifying
b = 21

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