(13b-5)-4(3b+1)=-5

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Solution for (13b-5)-4(3b+1)=-5 equation:


Simplifying
(13b + -5) + -4(3b + 1) = -5

Reorder the terms:
(-5 + 13b) + -4(3b + 1) = -5

Remove parenthesis around (-5 + 13b)
-5 + 13b + -4(3b + 1) = -5

Reorder the terms:
-5 + 13b + -4(1 + 3b) = -5
-5 + 13b + (1 * -4 + 3b * -4) = -5
-5 + 13b + (-4 + -12b) = -5

Reorder the terms:
-5 + -4 + 13b + -12b = -5

Combine like terms: -5 + -4 = -9
-9 + 13b + -12b = -5

Combine like terms: 13b + -12b = 1b
-9 + 1b = -5

Solving
-9 + 1b = -5

Solving for variable 'b'.

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

Add '9' to each side of the equation.
-9 + 9 + 1b = -5 + 9

Combine like terms: -9 + 9 = 0
0 + 1b = -5 + 9
1b = -5 + 9

Combine like terms: -5 + 9 = 4
1b = 4

Divide each side by '1'.
b = 4

Simplifying
b = 4

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