2b+1=3b-22

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Solution for 2b+1=3b-22 equation:


Simplifying
2b + 1 = 3b + -22

Reorder the terms:
1 + 2b = 3b + -22

Reorder the terms:
1 + 2b = -22 + 3b

Solving
1 + 2b = -22 + 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.
1 + 2b + -3b = -22 + 3b + -3b

Combine like terms: 2b + -3b = -1b
1 + -1b = -22 + 3b + -3b

Combine like terms: 3b + -3b = 0
1 + -1b = -22 + 0
1 + -1b = -22

Add '-1' to each side of the equation.
1 + -1 + -1b = -22 + -1

Combine like terms: 1 + -1 = 0
0 + -1b = -22 + -1
-1b = -22 + -1

Combine like terms: -22 + -1 = -23
-1b = -23

Divide each side by '-1'.
b = 23

Simplifying
b = 23

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