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75x-6=5\left(4x-1\right)
Multiply both sides of the equation by 15, the least common multiple of 5,3.
75x-6=20x-5
Use the distributive property to multiply 5 by 4x-1.
75x-6-20x=-5
Subtract 20x from both sides.
55x-6=-5
Combine 75x and -20x to get 55x.
55x=-5+6
Add 6 to both sides.
55x=1
Add -5 and 6 to get 1.
x=\frac{1}{55}
Divide both sides by 55.