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67=2\left(2x-3\right)-\left(x+1\right)
Multiply both sides of the equation by 4, the least common multiple of 4,2.
67=4x-6-\left(x+1\right)
Use the distributive property to multiply 2 by 2x-3.
67=4x-6-x-1
To find the opposite of x+1, find the opposite of each term.
67=3x-6-1
Combine 4x and -x to get 3x.
67=3x-7
Subtract 1 from -6 to get -7.
3x-7=67
Swap sides so that all variable terms are on the left hand side.
3x=67+7
Add 7 to both sides.
3x=74
Add 67 and 7 to get 74.
x=\frac{74}{3}
Divide both sides by 3.