(21b-7)-5(4b+1)=-5

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Solution for (21b-7)-5(4b+1)=-5 equation:


Simplifying
(21b + -7) + -5(4b + 1) = -5

Reorder the terms:
(-7 + 21b) + -5(4b + 1) = -5

Remove parenthesis around (-7 + 21b)
-7 + 21b + -5(4b + 1) = -5

Reorder the terms:
-7 + 21b + -5(1 + 4b) = -5
-7 + 21b + (1 * -5 + 4b * -5) = -5
-7 + 21b + (-5 + -20b) = -5

Reorder the terms:
-7 + -5 + 21b + -20b = -5

Combine like terms: -7 + -5 = -12
-12 + 21b + -20b = -5

Combine like terms: 21b + -20b = 1b
-12 + 1b = -5

Solving
-12 + 1b = -5

Solving for variable 'b'.

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

Add '12' to each side of the equation.
-12 + 12 + 1b = -5 + 12

Combine like terms: -12 + 12 = 0
0 + 1b = -5 + 12
1b = -5 + 12

Combine like terms: -5 + 12 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7

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