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

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


Simplifying
2(b + 5) + -5(b + -1) = 3

Reorder the terms:
2(5 + b) + -5(b + -1) = 3
(5 * 2 + b * 2) + -5(b + -1) = 3
(10 + 2b) + -5(b + -1) = 3

Reorder the terms:
10 + 2b + -5(-1 + b) = 3
10 + 2b + (-1 * -5 + b * -5) = 3
10 + 2b + (5 + -5b) = 3

Reorder the terms:
10 + 5 + 2b + -5b = 3

Combine like terms: 10 + 5 = 15
15 + 2b + -5b = 3

Combine like terms: 2b + -5b = -3b
15 + -3b = 3

Solving
15 + -3b = 3

Solving for variable 'b'.

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

Add '-15' to each side of the equation.
15 + -15 + -3b = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -3b = 3 + -15
-3b = 3 + -15

Combine like terms: 3 + -15 = -12
-3b = -12

Divide each side by '-3'.
b = 4

Simplifying
b = 4

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