7+2b=2(4b+7)+5

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Solution for 7+2b=2(4b+7)+5 equation:


Simplifying
7 + 2b = 2(4b + 7) + 5

Reorder the terms:
7 + 2b = 2(7 + 4b) + 5
7 + 2b = (7 * 2 + 4b * 2) + 5
7 + 2b = (14 + 8b) + 5

Reorder the terms:
7 + 2b = 14 + 5 + 8b

Combine like terms: 14 + 5 = 19
7 + 2b = 19 + 8b

Solving
7 + 2b = 19 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
7 + 2b + -8b = 19 + 8b + -8b

Combine like terms: 2b + -8b = -6b
7 + -6b = 19 + 8b + -8b

Combine like terms: 8b + -8b = 0
7 + -6b = 19 + 0
7 + -6b = 19

Add '-7' to each side of the equation.
7 + -7 + -6b = 19 + -7

Combine like terms: 7 + -7 = 0
0 + -6b = 19 + -7
-6b = 19 + -7

Combine like terms: 19 + -7 = 12
-6b = 12

Divide each side by '-6'.
b = -2

Simplifying
b = -2

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