2b-10+16=5b-15

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Solution for 2b-10+16=5b-15 equation:


Simplifying
2b + -10 + 16 = 5b + -15

Reorder the terms:
-10 + 16 + 2b = 5b + -15

Combine like terms: -10 + 16 = 6
6 + 2b = 5b + -15

Reorder the terms:
6 + 2b = -15 + 5b

Solving
6 + 2b = -15 + 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.
6 + 2b + -5b = -15 + 5b + -5b

Combine like terms: 2b + -5b = -3b
6 + -3b = -15 + 5b + -5b

Combine like terms: 5b + -5b = 0
6 + -3b = -15 + 0
6 + -3b = -15

Add '-6' to each side of the equation.
6 + -6 + -3b = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -3b = -15 + -6
-3b = -15 + -6

Combine like terms: -15 + -6 = -21
-3b = -21

Divide each side by '-3'.
b = 7

Simplifying
b = 7

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