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

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


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

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

Reorder the terms:
-5 + 2b + -5b = 3b + 1

Combine like terms: 2b + -5b = -3b
-5 + -3b = 3b + 1

Reorder the terms:
-5 + -3b = 1 + 3b

Solving
-5 + -3b = 1 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
-5 + -3b + -3b = 1 + 3b + -3b

Combine like terms: -3b + -3b = -6b
-5 + -6b = 1 + 3b + -3b

Combine like terms: 3b + -3b = 0
-5 + -6b = 1 + 0
-5 + -6b = 1

Add '5' to each side of the equation.
-5 + 5 + -6b = 1 + 5

Combine like terms: -5 + 5 = 0
0 + -6b = 1 + 5
-6b = 1 + 5

Combine like terms: 1 + 5 = 6
-6b = 6

Divide each side by '-6'.
b = -1

Simplifying
b = -1

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