3(b+2)-b=8b-18

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Solution for 3(b+2)-b=8b-18 equation:


Simplifying
3(b + 2) + -1b = 8b + -18

Reorder the terms:
3(2 + b) + -1b = 8b + -18
(2 * 3 + b * 3) + -1b = 8b + -18
(6 + 3b) + -1b = 8b + -18

Combine like terms: 3b + -1b = 2b
6 + 2b = 8b + -18

Reorder the terms:
6 + 2b = -18 + 8b

Solving
6 + 2b = -18 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
6 + 2b + -8b = -18 + 8b + -8b

Combine like terms: 2b + -8b = -6b
6 + -6b = -18 + 8b + -8b

Combine like terms: 8b + -8b = 0
6 + -6b = -18 + 0
6 + -6b = -18

Add '-6' to each side of the equation.
6 + -6 + -6b = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -6b = -18 + -6
-6b = -18 + -6

Combine like terms: -18 + -6 = -24
-6b = -24

Divide each side by '-6'.
b = 4

Simplifying
b = 4

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