3(2b-1)-5b+2=11-8(b+3)

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Solution for 3(2b-1)-5b+2=11-8(b+3) equation:


Simplifying
3(2b + -1) + -5b + 2 = 11 + -8(b + 3)

Reorder the terms:
3(-1 + 2b) + -5b + 2 = 11 + -8(b + 3)
(-1 * 3 + 2b * 3) + -5b + 2 = 11 + -8(b + 3)
(-3 + 6b) + -5b + 2 = 11 + -8(b + 3)

Reorder the terms:
-3 + 2 + 6b + -5b = 11 + -8(b + 3)

Combine like terms: -3 + 2 = -1
-1 + 6b + -5b = 11 + -8(b + 3)

Combine like terms: 6b + -5b = 1b
-1 + 1b = 11 + -8(b + 3)

Reorder the terms:
-1 + 1b = 11 + -8(3 + b)
-1 + 1b = 11 + (3 * -8 + b * -8)
-1 + 1b = 11 + (-24 + -8b)

Combine like terms: 11 + -24 = -13
-1 + 1b = -13 + -8b

Solving
-1 + 1b = -13 + -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.
-1 + 1b + 8b = -13 + -8b + 8b

Combine like terms: 1b + 8b = 9b
-1 + 9b = -13 + -8b + 8b

Combine like terms: -8b + 8b = 0
-1 + 9b = -13 + 0
-1 + 9b = -13

Add '1' to each side of the equation.
-1 + 1 + 9b = -13 + 1

Combine like terms: -1 + 1 = 0
0 + 9b = -13 + 1
9b = -13 + 1

Combine like terms: -13 + 1 = -12
9b = -12

Divide each side by '9'.
b = -1.333333333

Simplifying
b = -1.333333333

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