exam Maths Puzzle Numerical Ability

Hello-Today on test, I was unable to prove that x=2. Given: 1/2x + 1 = 2x -2.
I know x=2 but kept coming up with x=1 when I did all of the steps. I must be doing something wrong. Thanks.

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exam Other Question

Use Cramer Rule.

x-3y+z=-2
x+2y=8
2x-y=1
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