7b+8-10b+2=9b+10-21b-12

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Solution for 7b+8-10b+2=9b+10-21b-12 equation: 


Simplifying
7b + 8 + -10b + 2 = 9b + 10 + -21b + -12

Reorder the terms:
8 + 2 + 7b + -10b = 9b + 10 + -21b + -12

Combine like terms: 8 + 2 = 10
10 + 7b + -10b = 9b + 10 + -21b + -12

Combine like terms: 7b + -10b = -3b
10 + -3b = 9b + 10 + -21b + -12

Reorder the terms:
10 + -3b = 10 + -12 + 9b + -21b

Combine like terms: 10 + -12 = -2
10 + -3b = -2 + 9b + -21b

Combine like terms: 9b + -21b = -12b
10 + -3b = -2 + -12b

Solving
10 + -3b = -2 + -12b

Solving for variable 'b'.

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

Add '12b' to each side of the equation.
10 + -3b + 12b = -2 + -12b + 12b

Combine like terms: -3b + 12b = 9b
10 + 9b = -2 + -12b + 12b

Combine like terms: -12b + 12b = 0
10 + 9b = -2 + 0
10 + 9b = -2

Add '-10' to each side of the equation.
10 + -10 + 9b = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 9b = -2 + -10
9b = -2 + -10

Combine like terms: -2 + -10 = -12
9b = -12

Divide each side by '9'.
b = -1.333333333

Simplifying
b = -1.333333333

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