-6(b-5)+2=15-(b+3)

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Solution for -6(b-5)+2=15-(b+3) equation: 


Simplifying
-6(b + -5) + 2 = 15 + -1(b + 3)

Reorder the terms:
-6(-5 + b) + 2 = 15 + -1(b + 3)
(-5 * -6 + b * -6) + 2 = 15 + -1(b + 3)
(30 + -6b) + 2 = 15 + -1(b + 3)

Reorder the terms:
30 + 2 + -6b = 15 + -1(b + 3)

Combine like terms: 30 + 2 = 32
32 + -6b = 15 + -1(b + 3)

Reorder the terms:
32 + -6b = 15 + -1(3 + b)
32 + -6b = 15 + (3 * -1 + b * -1)
32 + -6b = 15 + (-3 + -1b)

Combine like terms: 15 + -3 = 12
32 + -6b = 12 + -1b

Solving
32 + -6b = 12 + -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
32 + -6b + b = 12 + -1b + b

Combine like terms: -6b + b = -5b
32 + -5b = 12 + -1b + b

Combine like terms: -1b + b = 0
32 + -5b = 12 + 0
32 + -5b = 12

Add '-32' to each side of the equation.
32 + -32 + -5b = 12 + -32

Combine like terms: 32 + -32 = 0
0 + -5b = 12 + -32
-5b = 12 + -32

Combine like terms: 12 + -32 = -20
-5b = -20

Divide each side by '-5'.
b = 4

Simplifying
b = 4

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