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5x-2\left(2-x\right)=x+1
Multiply both sides of the equation by 10, the least common multiple of 2,5,10.
5x-4+2x=x+1
Use the distributive property to multiply -2 by 2-x.
7x-4=x+1
Combine 5x and 2x to get 7x.
7x-4-x=1
Subtract x from both sides.
6x-4=1
Combine 7x and -x to get 6x.
6x=1+4
Add 4 to both sides.
6x=5
Add 1 and 4 to get 5.
x=\frac{5}{6}
Divide both sides by 6.