5 -2x-1 = x+2

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4. 3

I keep getting x=5.5
Multiply by 12
60-3(2x-1)=4(x+2)
60-6x-3 =4x+8
63-6x=4x+8
Add the -6x
63=10x+8
Subtract the 8
55=10x
Divide 10
X=5.5

5 - 2x - 1 = x+2

4-2x = x + 2
-2x-x = 2 - 4
-3x = -2
X = -2/-3 = 2/3

Your method:
Multiply each term on both sides by 12:
12(5-2x-1) = 12(x+2)
60 - 24x - 12 = 12x + 24
48-24x = 12x + 24
-24x - 12x = 24 - 48
-36x = -24
X = -24/-36 = 24/36 = 2/3.

Note: I don't know why you chose to multiply by 12.