4b+5=2b+13

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Solution for 4b+5=2b+13 equation:


Simplifying
4b + 5 = 2b + 13

Reorder the terms:
5 + 4b = 2b + 13

Reorder the terms:
5 + 4b = 13 + 2b

Solving
5 + 4b = 13 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
5 + 4b + -2b = 13 + 2b + -2b

Combine like terms: 4b + -2b = 2b
5 + 2b = 13 + 2b + -2b

Combine like terms: 2b + -2b = 0
5 + 2b = 13 + 0
5 + 2b = 13

Add '-5' to each side of the equation.
5 + -5 + 2b = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 2b = 13 + -5
2b = 13 + -5

Combine like terms: 13 + -5 = 8
2b = 8

Divide each side by '2'.
b = 4

Simplifying
b = 4

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