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6\left(2x-3\right)+4x-1=30
Multiply both sides of the equation by 30, the least common multiple of 5,30.
12x-18+4x-1=30
Use the distributive property to multiply 6 by 2x-3.
16x-18-1=30
Combine 12x and 4x to get 16x.
16x-19=30
Subtract 1 from -18 to get -19.
16x=30+19
Add 19 to both sides.
16x=49
Add 30 and 19 to get 49.
x=\frac{49}{16}
Divide both sides by 16.