2b+7=5b-17

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Solution for 2b+7=5b-17 equation:


Simplifying
2b + 7 = 5b + -17

Reorder the terms:
7 + 2b = 5b + -17

Reorder the terms:
7 + 2b = -17 + 5b

Solving
7 + 2b = -17 + 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.
7 + 2b + -5b = -17 + 5b + -5b

Combine like terms: 2b + -5b = -3b
7 + -3b = -17 + 5b + -5b

Combine like terms: 5b + -5b = 0
7 + -3b = -17 + 0
7 + -3b = -17

Add '-7' to each side of the equation.
7 + -7 + -3b = -17 + -7

Combine like terms: 7 + -7 = 0
0 + -3b = -17 + -7
-3b = -17 + -7

Combine like terms: -17 + -7 = -24
-3b = -24

Divide each side by '-3'.
b = 8

Simplifying
b = 8

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