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

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


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

Combine like terms: 4b + -2b = 2b
5 + -3(2b) = 4(b + -3) + -3

Remove parenthesis around (2b)
5 + -3 * 2b = 4(b + -3) + -3

Multiply -3 * 2
5 + -6b = 4(b + -3) + -3

Reorder the terms:
5 + -6b = 4(-3 + b) + -3
5 + -6b = (-3 * 4 + b * 4) + -3
5 + -6b = (-12 + 4b) + -3

Reorder the terms:
5 + -6b = -12 + -3 + 4b

Combine like terms: -12 + -3 = -15
5 + -6b = -15 + 4b

Solving
5 + -6b = -15 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
5 + -6b + -4b = -15 + 4b + -4b

Combine like terms: -6b + -4b = -10b
5 + -10b = -15 + 4b + -4b

Combine like terms: 4b + -4b = 0
5 + -10b = -15 + 0
5 + -10b = -15

Add '-5' to each side of the equation.
5 + -5 + -10b = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -10b = -15 + -5
-10b = -15 + -5

Combine like terms: -15 + -5 = -20
-10b = -20

Divide each side by '-10'.
b = 2

Simplifying
b = 2

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