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

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


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

Reorder the terms:
3(-4 + 5b) + -4 = 2(b + -5)
(-4 * 3 + 5b * 3) + -4 = 2(b + -5)
(-12 + 15b) + -4 = 2(b + -5)

Reorder the terms:
-12 + -4 + 15b = 2(b + -5)

Combine like terms: -12 + -4 = -16
-16 + 15b = 2(b + -5)

Reorder the terms:
-16 + 15b = 2(-5 + b)
-16 + 15b = (-5 * 2 + b * 2)
-16 + 15b = (-10 + 2b)

Solving
-16 + 15b = -10 + 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.
-16 + 15b + -2b = -10 + 2b + -2b

Combine like terms: 15b + -2b = 13b
-16 + 13b = -10 + 2b + -2b

Combine like terms: 2b + -2b = 0
-16 + 13b = -10 + 0
-16 + 13b = -10

Add '16' to each side of the equation.
-16 + 16 + 13b = -10 + 16

Combine like terms: -16 + 16 = 0
0 + 13b = -10 + 16
13b = -10 + 16

Combine like terms: -10 + 16 = 6
13b = 6

Divide each side by '13'.
b = 0.4615384615

Simplifying
b = 0.4615384615

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