5(b-1)=1+2(b+6)

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Solution for 5(b-1)=1+2(b+6) equation:


Simplifying
5(b + -1) = 1 + 2(b + 6)

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

Reorder the terms:
-5 + 5b = 1 + 2(6 + b)
-5 + 5b = 1 + (6 * 2 + b * 2)
-5 + 5b = 1 + (12 + 2b)

Combine like terms: 1 + 12 = 13
-5 + 5b = 13 + 2b

Solving
-5 + 5b = 13 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
-5 + 5b + -2b = 13 + 2b + -2b

Combine like terms: 5b + -2b = 3b
-5 + 3b = 13 + 2b + -2b

Combine like terms: 2b + -2b = 0
-5 + 3b = 13 + 0
-5 + 3b = 13

Add '5' to each side of the equation.
-5 + 5 + 3b = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 3b = 13 + 5
3b = 13 + 5

Combine like terms: 13 + 5 = 18
3b = 18

Divide each side by '3'.
b = 6

Simplifying
b = 6

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