-2(-b-19)=4(-2b-18)-20

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Solution for -2(-b-19)=4(-2b-18)-20 equation:


Simplifying
-2(-1b + -19) = 4(-2b + -18) + -20

Reorder the terms:
-2(-19 + -1b) = 4(-2b + -18) + -20
(-19 * -2 + -1b * -2) = 4(-2b + -18) + -20
(38 + 2b) = 4(-2b + -18) + -20

Reorder the terms:
38 + 2b = 4(-18 + -2b) + -20
38 + 2b = (-18 * 4 + -2b * 4) + -20
38 + 2b = (-72 + -8b) + -20

Reorder the terms:
38 + 2b = -72 + -20 + -8b

Combine like terms: -72 + -20 = -92
38 + 2b = -92 + -8b

Solving
38 + 2b = -92 + -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.
38 + 2b + 8b = -92 + -8b + 8b

Combine like terms: 2b + 8b = 10b
38 + 10b = -92 + -8b + 8b

Combine like terms: -8b + 8b = 0
38 + 10b = -92 + 0
38 + 10b = -92

Add '-38' to each side of the equation.
38 + -38 + 10b = -92 + -38

Combine like terms: 38 + -38 = 0
0 + 10b = -92 + -38
10b = -92 + -38

Combine like terms: -92 + -38 = -130
10b = -130

Divide each side by '10'.
b = -13

Simplifying
b = -13

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