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x+1=2\left(x+3\right)-4
Multiply both sides of the equation by 8, the least common multiple of 8,4,2.
x+1=2x+6-4
Use the distributive property to multiply 2 by x+3.
x+1=2x+2
Subtract 4 from 6 to get 2.
x+1-2x=2
Subtract 2x from both sides.
-x+1=2
Combine x and -2x to get -x.
-x=2-1
Subtract 1 from both sides.
-x=1
Subtract 1 from 2 to get 1.
x=-1
Multiply both sides by -1.