-5(b-9)-(3b-8)=2b+1

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Solution for -5(b-9)-(3b-8)=2b+1 equation:


Simplifying
-5(b + -9) + -1(3b + -8) = 2b + 1

Reorder the terms:
-5(-9 + b) + -1(3b + -8) = 2b + 1
(-9 * -5 + b * -5) + -1(3b + -8) = 2b + 1
(45 + -5b) + -1(3b + -8) = 2b + 1

Reorder the terms:
45 + -5b + -1(-8 + 3b) = 2b + 1
45 + -5b + (-8 * -1 + 3b * -1) = 2b + 1
45 + -5b + (8 + -3b) = 2b + 1

Reorder the terms:
45 + 8 + -5b + -3b = 2b + 1

Combine like terms: 45 + 8 = 53
53 + -5b + -3b = 2b + 1

Combine like terms: -5b + -3b = -8b
53 + -8b = 2b + 1

Reorder the terms:
53 + -8b = 1 + 2b

Solving
53 + -8b = 1 + 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.
53 + -8b + -2b = 1 + 2b + -2b

Combine like terms: -8b + -2b = -10b
53 + -10b = 1 + 2b + -2b

Combine like terms: 2b + -2b = 0
53 + -10b = 1 + 0
53 + -10b = 1

Add '-53' to each side of the equation.
53 + -53 + -10b = 1 + -53

Combine like terms: 53 + -53 = 0
0 + -10b = 1 + -53
-10b = 1 + -53

Combine like terms: 1 + -53 = -52
-10b = -52

Divide each side by '-10'.
b = 5.2

Simplifying
b = 5.2

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