7b+3=2b-7

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Solution for 7b+3=2b-7 equation:


Simplifying
7b + 3 = 2b + -7

Reorder the terms:
3 + 7b = 2b + -7

Reorder the terms:
3 + 7b = -7 + 2b

Solving
3 + 7b = -7 + 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.
3 + 7b + -2b = -7 + 2b + -2b

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

Combine like terms: 2b + -2b = 0
3 + 5b = -7 + 0
3 + 5b = -7

Add '-3' to each side of the equation.
3 + -3 + 5b = -7 + -3

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

Combine like terms: -7 + -3 = -10
5b = -10

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

Simplifying
b = -2

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