-5(b-8)+2(-6b-4)=15

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Solution for -5(b-8)+2(-6b-4)=15 equation: 


Simplifying
-5(b + -8) + 2(-6b + -4) = 15

Reorder the terms:
-5(-8 + b) + 2(-6b + -4) = 15
(-8 * -5 + b * -5) + 2(-6b + -4) = 15
(40 + -5b) + 2(-6b + -4) = 15

Reorder the terms:
40 + -5b + 2(-4 + -6b) = 15
40 + -5b + (-4 * 2 + -6b * 2) = 15
40 + -5b + (-8 + -12b) = 15

Reorder the terms:
40 + -8 + -5b + -12b = 15

Combine like terms: 40 + -8 = 32
32 + -5b + -12b = 15

Combine like terms: -5b + -12b = -17b
32 + -17b = 15

Solving
32 + -17b = 15

Solving for variable 'b'.

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

Add '-32' to each side of the equation.
32 + -32 + -17b = 15 + -32

Combine like terms: 32 + -32 = 0
0 + -17b = 15 + -32
-17b = 15 + -32

Combine like terms: 15 + -32 = -17
-17b = -17

Divide each side by '-17'.
b = 1

Simplifying
b = 1

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