2b+4=5b+16

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Solution for 2b+4=5b+16 equation:


Simplifying
2b + 4 = 5b + 16

Reorder the terms:
4 + 2b = 5b + 16

Reorder the terms:
4 + 2b = 16 + 5b

Solving
4 + 2b = 16 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
4 + 2b + -5b = 16 + 5b + -5b

Combine like terms: 2b + -5b = -3b
4 + -3b = 16 + 5b + -5b

Combine like terms: 5b + -5b = 0
4 + -3b = 16 + 0
4 + -3b = 16

Add '-4' to each side of the equation.
4 + -4 + -3b = 16 + -4

Combine like terms: 4 + -4 = 0
0 + -3b = 16 + -4
-3b = 16 + -4

Combine like terms: 16 + -4 = 12
-3b = 12

Divide each side by '-3'.
b = -4

Simplifying
b = -4

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