-3(-20b+6)-17=5(8b+13)

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Solution for -3(-20b+6)-17=5(8b+13) equation:


Simplifying
-3(-20b + 6) + -17 = 5(8b + 13)

Reorder the terms:
-3(6 + -20b) + -17 = 5(8b + 13)
(6 * -3 + -20b * -3) + -17 = 5(8b + 13)
(-18 + 60b) + -17 = 5(8b + 13)

Reorder the terms:
-18 + -17 + 60b = 5(8b + 13)

Combine like terms: -18 + -17 = -35
-35 + 60b = 5(8b + 13)

Reorder the terms:
-35 + 60b = 5(13 + 8b)
-35 + 60b = (13 * 5 + 8b * 5)
-35 + 60b = (65 + 40b)

Solving
-35 + 60b = 65 + 40b

Solving for variable 'b'.

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

Add '-40b' to each side of the equation.
-35 + 60b + -40b = 65 + 40b + -40b

Combine like terms: 60b + -40b = 20b
-35 + 20b = 65 + 40b + -40b

Combine like terms: 40b + -40b = 0
-35 + 20b = 65 + 0
-35 + 20b = 65

Add '35' to each side of the equation.
-35 + 35 + 20b = 65 + 35

Combine like terms: -35 + 35 = 0
0 + 20b = 65 + 35
20b = 65 + 35

Combine like terms: 65 + 35 = 100
20b = 100

Divide each side by '20'.
b = 5

Simplifying
b = 5

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