5(1-3b)=11-3(2b-1)

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Solution for 5(1-3b)=11-3(2b-1) equation:


Simplifying
5(1 + -3b) = 11 + -3(2b + -1)
(1 * 5 + -3b * 5) = 11 + -3(2b + -1)
(5 + -15b) = 11 + -3(2b + -1)

Reorder the terms:
5 + -15b = 11 + -3(-1 + 2b)
5 + -15b = 11 + (-1 * -3 + 2b * -3)
5 + -15b = 11 + (3 + -6b)

Combine like terms: 11 + 3 = 14
5 + -15b = 14 + -6b

Solving
5 + -15b = 14 + -6b

Solving for variable 'b'.

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

Add '6b' to each side of the equation.
5 + -15b + 6b = 14 + -6b + 6b

Combine like terms: -15b + 6b = -9b
5 + -9b = 14 + -6b + 6b

Combine like terms: -6b + 6b = 0
5 + -9b = 14 + 0
5 + -9b = 14

Add '-5' to each side of the equation.
5 + -5 + -9b = 14 + -5

Combine like terms: 5 + -5 = 0
0 + -9b = 14 + -5
-9b = 14 + -5

Combine like terms: 14 + -5 = 9
-9b = 9

Divide each side by '-9'.
b = -1

Simplifying
b = -1

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