-2(b-4)-(3b-1)=5b+3

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Solution for -2(b-4)-(3b-1)=5b+3 equation:


Simplifying
-2(b + -4) + -1(3b + -1) = 5b + 3

Reorder the terms:
-2(-4 + b) + -1(3b + -1) = 5b + 3
(-4 * -2 + b * -2) + -1(3b + -1) = 5b + 3
(8 + -2b) + -1(3b + -1) = 5b + 3

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

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

Combine like terms: 8 + 1 = 9
9 + -2b + -3b = 5b + 3

Combine like terms: -2b + -3b = -5b
9 + -5b = 5b + 3

Reorder the terms:
9 + -5b = 3 + 5b

Solving
9 + -5b = 3 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
9 + -5b + -5b = 3 + 5b + -5b

Combine like terms: -5b + -5b = -10b
9 + -10b = 3 + 5b + -5b

Combine like terms: 5b + -5b = 0
9 + -10b = 3 + 0
9 + -10b = 3

Add '-9' to each side of the equation.
9 + -9 + -10b = 3 + -9

Combine like terms: 9 + -9 = 0
0 + -10b = 3 + -9
-10b = 3 + -9

Combine like terms: 3 + -9 = -6
-10b = -6

Divide each side by '-10'.
b = 0.6

Simplifying
b = 0.6

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