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