2b+1=4b-9

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Solution for 2b+1=4b-9 equation:


Simplifying
2b + 1 = 4b + -9

Reorder the terms:
1 + 2b = 4b + -9

Reorder the terms:
1 + 2b = -9 + 4b

Solving
1 + 2b = -9 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
1 + 2b + -4b = -9 + 4b + -4b

Combine like terms: 2b + -4b = -2b
1 + -2b = -9 + 4b + -4b

Combine like terms: 4b + -4b = 0
1 + -2b = -9 + 0
1 + -2b = -9

Add '-1' to each side of the equation.
1 + -1 + -2b = -9 + -1

Combine like terms: 1 + -1 = 0
0 + -2b = -9 + -1
-2b = -9 + -1

Combine like terms: -9 + -1 = -10
-2b = -10

Divide each side by '-2'.
b = 5

Simplifying
b = 5

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