Question

Solve for x: 2x - 2 > 4x + 6

1) x < -4

2) x > -4

3) x < 4

4) x > 4

Answer 1

Isolate the x. Subtract 4x from both sides, and add 2 to both sides

2x (-4x) - 2 (+2) > 4x (-4x) + 6 (+2)

2x - 4x > 6 + 2

Simplify. Combine like terms

-2x > 8

Isolate the x. Divide -2 from both sides. Note that you are dividing a negative number. When doing so, flip the sign.

-2x/-2 > 8/-2

x > 8/-2

x < -4

x < -4, or (1) is your answer

hope this helps