Question

Solve for x: 2x – 2 > 4x + 6.

Answer 1

The answer is x < -4.

Explanation:

Step 1: Subtract 2x from both sides.

`- 2 > 4x + 6 - 2x`

Step 2: Simplify -2 > 4x + 6 - 2x to 2x + 6.

`- 2 > 2x + 6`

Step 3: Subtract 6 from both sides.

`- 2 - 6 > 2x`

Step 4: Simplify -2 - 6 to -8.

`- 8 > 2x`

Step 5: Divide both sides by 2.

`- (8)/(2) > x`

Step 6: Simplify 8/2 to 4.

`- 4 > x`

Step 7: Switch sides.

`x < - 4`

Thus, the answer is x < -4.

Answer 2

x < -4

Explanation:

Let's first isolate x. Subtract 2x from both sides. This results in -2 > 2x + 6.

Next, subtract 6 from both sides, obtaining -8 > 2x.

Finally, dividing both sides by 2 results in:

x < -4