5b-4(b-7)=3+2b

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Solution for 5b-4(b-7)=3+2b equation:


Simplifying
5b + -4(b + -7) = 3 + 2b

Reorder the terms:
5b + -4(-7 + b) = 3 + 2b
5b + (-7 * -4 + b * -4) = 3 + 2b
5b + (28 + -4b) = 3 + 2b

Reorder the terms:
28 + 5b + -4b = 3 + 2b

Combine like terms: 5b + -4b = 1b
28 + 1b = 3 + 2b

Solving
28 + 1b = 3 + 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.
28 + 1b + -2b = 3 + 2b + -2b

Combine like terms: 1b + -2b = -1b
28 + -1b = 3 + 2b + -2b

Combine like terms: 2b + -2b = 0
28 + -1b = 3 + 0
28 + -1b = 3

Add '-28' to each side of the equation.
28 + -28 + -1b = 3 + -28

Combine like terms: 28 + -28 = 0
0 + -1b = 3 + -28
-1b = 3 + -28

Combine like terms: 3 + -28 = -25
-1b = -25

Divide each side by '-1'.
b = 25

Simplifying
b = 25

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