Pre-algebra help?

Question

This is going to sound very easy but I just can't get the answer without a decimal! It has to be rational number.

x being the variable

9x-(x-8)>x+29




show work.
thanks!

Answer 1

1) Distribute the negative sign through the parentheses.
9x-x+8 > x + 29

2) Combine x's on the left.
8x+8 > x+29

3) Subtract x from both sides to consolidate the x's on the left.
7x+8 > 29

4) Subtract 8 from both sides to get all the constants on the right.
7x > 21

5) Divide both sides by 7.
x > 3

Answer 2

9x-(x-8) > x+29
(step 1: remove the parenthesis, but you can't just take it out. there is a "-1" that is in front of the parenthesis that needs to be multiplied across to both "x" and "-8" which can get confusing. the equation really looks like this: 9x-1(x-8) > x+29)

9x-x+8 > x+29
(step 2: combine the "x-es")

8x+8 > x+29
(step 3: subtract 8 from each side to move your numbers all to one side of the equation)

8x > x+21
(step 4: subtract "x" from both sides to leave your "x-es" on one side and your numbers on the other)

7x > 21
(step 5: divide by 7 to leave "x" alone)

x > 3
(solved)

Answer 3

9x-(x-8)>x+29
9x-x+8>x+29
8x+8>x+29
-x -x
7x+8>29
-8 -8
7x>21 divide by 7



x>3

Answer 4

9x-(x-8)>x+29
8x+8>x+29
-x -x
7x+8>29
-8 -8
7x > 21
/7 /7
x > 3

Answer 5

9X -(X-8) > X+29
9X -X +8 > X+29
8X +8 > X+29
8X - X > 29 - 8
7X > 21
X > 3

When you get rid of the parenthesis, dont forget to distribute the minus sign to both terms!

Answer 6

9x-(x-8)>x+29
9x-x+8> x+29
8x>x+21
7x> 21
x>3

Answer 7

-8 * 29 = -232

Answer 8

i think its 8

Answer 9

9x-x+8>x+29
8x+8>x+29
8x+8-8>x+29-8
8x>x+21
8x-x>x-x+21
7x=21
x=3