2(b-3)-1=3b-12

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Solution for 2(b-3)-1=3b-12 equation:


Simplifying
2(b + -3) + -1 = 3b + -12

Reorder the terms:
2(-3 + b) + -1 = 3b + -12
(-3 * 2 + b * 2) + -1 = 3b + -12
(-6 + 2b) + -1 = 3b + -12

Reorder the terms:
-6 + -1 + 2b = 3b + -12

Combine like terms: -6 + -1 = -7
-7 + 2b = 3b + -12

Reorder the terms:
-7 + 2b = -12 + 3b

Solving
-7 + 2b = -12 + 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.
-7 + 2b + -3b = -12 + 3b + -3b

Combine like terms: 2b + -3b = -1b
-7 + -1b = -12 + 3b + -3b

Combine like terms: 3b + -3b = 0
-7 + -1b = -12 + 0
-7 + -1b = -12

Add '7' to each side of the equation.
-7 + 7 + -1b = -12 + 7

Combine like terms: -7 + 7 = 0
0 + -1b = -12 + 7
-1b = -12 + 7

Combine like terms: -12 + 7 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5

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