2b+7-6b+12=4b+5-7b-1

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Solution for 2b+7-6b+12=4b+5-7b-1 equation:


Simplifying
2b + 7 + -6b + 12 = 4b + 5 + -7b + -1

Reorder the terms:
7 + 12 + 2b + -6b = 4b + 5 + -7b + -1

Combine like terms: 7 + 12 = 19
19 + 2b + -6b = 4b + 5 + -7b + -1

Combine like terms: 2b + -6b = -4b
19 + -4b = 4b + 5 + -7b + -1

Reorder the terms:
19 + -4b = 5 + -1 + 4b + -7b

Combine like terms: 5 + -1 = 4
19 + -4b = 4 + 4b + -7b

Combine like terms: 4b + -7b = -3b
19 + -4b = 4 + -3b

Solving
19 + -4b = 4 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
19 + -4b + 3b = 4 + -3b + 3b

Combine like terms: -4b + 3b = -1b
19 + -1b = 4 + -3b + 3b

Combine like terms: -3b + 3b = 0
19 + -1b = 4 + 0
19 + -1b = 4

Add '-19' to each side of the equation.
19 + -19 + -1b = 4 + -19

Combine like terms: 19 + -19 = 0
0 + -1b = 4 + -19
-1b = 4 + -19

Combine like terms: 4 + -19 = -15
-1b = -15

Divide each side by '-1'.
b = 15

Simplifying
b = 15

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