(5b-8)-2(2b+1)=-5

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Solution for (5b-8)-2(2b+1)=-5 equation:


Simplifying
(5b + -8) + -2(2b + 1) = -5

Reorder the terms:
(-8 + 5b) + -2(2b + 1) = -5

Remove parenthesis around (-8 + 5b)
-8 + 5b + -2(2b + 1) = -5

Reorder the terms:
-8 + 5b + -2(1 + 2b) = -5
-8 + 5b + (1 * -2 + 2b * -2) = -5
-8 + 5b + (-2 + -4b) = -5

Reorder the terms:
-8 + -2 + 5b + -4b = -5

Combine like terms: -8 + -2 = -10
-10 + 5b + -4b = -5

Combine like terms: 5b + -4b = 1b
-10 + 1b = -5

Solving
-10 + 1b = -5

Solving for variable 'b'.

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

Add '10' to each side of the equation.
-10 + 10 + 1b = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 1b = -5 + 10
1b = -5 + 10

Combine like terms: -5 + 10 = 5
1b = 5

Divide each side by '1'.
b = 5

Simplifying
b = 5

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