Question

Solve for x: 5 − (x + 5) > −2(x + 4)

Answer 1

Answer:

The answer is

$\huge x > - 8$

Step-by-step explanation:

$5 − (x + 5) > −2(x + 4)$

First of all expand the terms in the bracket

That's

$5 - x - 5 > - 2x - 8 \\ - x > - 2x - 8$

Add 2x to both sides

$- x + 2x > 2x - 2x - 8 \\ x > - 8$

We have the final answer as

$x > - 8$

Hope this helps you

Answer 2

Answer:

x > -8

Step-by-step explanation:

5 − (x + 5) > −2(x + 4)

Simplify both sides first:

5 - x - 5 > -2x - 8

-x > -2x -8

Now isolate the variable:

-x > -2x -8

+2x  +2x

x > -8