1+9(b-1)-12(b+1)=2b+5

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Solution for 1+9(b-1)-12(b+1)=2b+5 equation:


Simplifying
1 + 9(b + -1) + -12(b + 1) = 2b + 5

Reorder the terms:
1 + 9(-1 + b) + -12(b + 1) = 2b + 5
1 + (-1 * 9 + b * 9) + -12(b + 1) = 2b + 5
1 + (-9 + 9b) + -12(b + 1) = 2b + 5

Reorder the terms:
1 + -9 + 9b + -12(1 + b) = 2b + 5
1 + -9 + 9b + (1 * -12 + b * -12) = 2b + 5
1 + -9 + 9b + (-12 + -12b) = 2b + 5

Reorder the terms:
1 + -9 + -12 + 9b + -12b = 2b + 5

Combine like terms: 1 + -9 = -8
-8 + -12 + 9b + -12b = 2b + 5

Combine like terms: -8 + -12 = -20
-20 + 9b + -12b = 2b + 5

Combine like terms: 9b + -12b = -3b
-20 + -3b = 2b + 5

Reorder the terms:
-20 + -3b = 5 + 2b

Solving
-20 + -3b = 5 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
-20 + -3b + -2b = 5 + 2b + -2b

Combine like terms: -3b + -2b = -5b
-20 + -5b = 5 + 2b + -2b

Combine like terms: 2b + -2b = 0
-20 + -5b = 5 + 0
-20 + -5b = 5

Add '20' to each side of the equation.
-20 + 20 + -5b = 5 + 20

Combine like terms: -20 + 20 = 0
0 + -5b = 5 + 20
-5b = 5 + 20

Combine like terms: 5 + 20 = 25
-5b = 25

Divide each side by '-5'.
b = -5

Simplifying
b = -5

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