-6(b-5)-(2b-7)=2b+5

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Solution for -6(b-5)-(2b-7)=2b+5 equation:


Simplifying
-6(b + -5) + -1(2b + -7) = 2b + 5

Reorder the terms:
-6(-5 + b) + -1(2b + -7) = 2b + 5
(-5 * -6 + b * -6) + -1(2b + -7) = 2b + 5
(30 + -6b) + -1(2b + -7) = 2b + 5

Reorder the terms:
30 + -6b + -1(-7 + 2b) = 2b + 5
30 + -6b + (-7 * -1 + 2b * -1) = 2b + 5
30 + -6b + (7 + -2b) = 2b + 5

Reorder the terms:
30 + 7 + -6b + -2b = 2b + 5

Combine like terms: 30 + 7 = 37
37 + -6b + -2b = 2b + 5

Combine like terms: -6b + -2b = -8b
37 + -8b = 2b + 5

Reorder the terms:
37 + -8b = 5 + 2b

Solving
37 + -8b = 5 + 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.
37 + -8b + -2b = 5 + 2b + -2b

Combine like terms: -8b + -2b = -10b
37 + -10b = 5 + 2b + -2b

Combine like terms: 2b + -2b = 0
37 + -10b = 5 + 0
37 + -10b = 5

Add '-37' to each side of the equation.
37 + -37 + -10b = 5 + -37

Combine like terms: 37 + -37 = 0
0 + -10b = 5 + -37
-10b = 5 + -37

Combine like terms: 5 + -37 = -32
-10b = -32

Divide each side by '-10'.
b = 3.2

Simplifying
b = 3.2

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