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2x-1=3\left(x-3\right)+4
Multiply both sides of the equation by 6, the least common multiple of 6,2,3.
2x-1=3x-9+4
Use the distributive property to multiply 3 by x-3.
2x-1=3x-5
Add -9 and 4 to get -5.
2x-1-3x=-5
Subtract 3x from both sides.
-x-1=-5
Combine 2x and -3x to get -x.
-x=-5+1
Add 1 to both sides.
-x=-4
Add -5 and 1 to get -4.
x=4
Multiply both sides by -1.