(22b-5)-7(3b+2)=-5

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Solution for (22b-5)-7(3b+2)=-5 equation:


Simplifying
(22b + -5) + -7(3b + 2) = -5

Reorder the terms:
(-5 + 22b) + -7(3b + 2) = -5

Remove parenthesis around (-5 + 22b)
-5 + 22b + -7(3b + 2) = -5

Reorder the terms:
-5 + 22b + -7(2 + 3b) = -5
-5 + 22b + (2 * -7 + 3b * -7) = -5
-5 + 22b + (-14 + -21b) = -5

Reorder the terms:
-5 + -14 + 22b + -21b = -5

Combine like terms: -5 + -14 = -19
-19 + 22b + -21b = -5

Combine like terms: 22b + -21b = 1b
-19 + 1b = -5

Solving
-19 + 1b = -5

Solving for variable 'b'.

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

Add '19' to each side of the equation.
-19 + 19 + 1b = -5 + 19

Combine like terms: -19 + 19 = 0
0 + 1b = -5 + 19
1b = -5 + 19

Combine like terms: -5 + 19 = 14
1b = 14

Divide each side by '1'.
b = 14

Simplifying
b = 14

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