-5(1-3b)=4b+17

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Solution for -5(1-3b)=4b+17 equation:


Simplifying
-5(1 + -3b) = 4b + 17
(1 * -5 + -3b * -5) = 4b + 17
(-5 + 15b) = 4b + 17

Reorder the terms:
-5 + 15b = 17 + 4b

Solving
-5 + 15b = 17 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
-5 + 15b + -4b = 17 + 4b + -4b

Combine like terms: 15b + -4b = 11b
-5 + 11b = 17 + 4b + -4b

Combine like terms: 4b + -4b = 0
-5 + 11b = 17 + 0
-5 + 11b = 17

Add '5' to each side of the equation.
-5 + 5 + 11b = 17 + 5

Combine like terms: -5 + 5 = 0
0 + 11b = 17 + 5
11b = 17 + 5

Combine like terms: 17 + 5 = 22
11b = 22

Divide each side by '11'.
b = 2

Simplifying
b = 2

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