0.9(2x+8)=20-(x+5)?

Question

clear all decimals, then solve.

Answer 1

9 (2x + 8) = 200 - 10x - 50
18x + 72 = 150 - 10x
28x = 78
x = 78 / 28
x = 39 / 14
x = 2 11/14

Answer 2

0.9(2x+8) = 20 – (x+5) ---------- 0.9 can be written as 9/10
9/10 (2 x + 8) = 20 – x – 5 = (15 – x) -------eq 1
Multiply eq 1 by 10
9 (2 x + 8) = 10 (15 – x) -------eq 2
18 x + 72 = 150 – 10 x
18 x + 10 x = 150 – 72
28 x = 78
x = 78/28 = 2.785714

Answer 3

First, distribute the 0.9: Multiply 2x by .9, and 8 by .9.

You get:

1.8x + 7.2 = 20 - (x + 5)

Now distribute the -1 in front of (x + 5)

1.8x + 7.2 = 20 - x - 5

Bring the x to the left by adding it on both sides, cancelling the x on the right and adding x to the left.

2.8x + 7.2 = 20 - 5

Clear 20 - 5

2.8x + 7.2 = 15

Subtract 7.2 on both sides, clearing 7.2 on the left and subtracting 7.2 on the right.

2.8x = 7.8

Divide both sides by 2.8, clearing 2.8 on the left and dividing 7.8 by 2.8 on the right.

x = 2.786 to three decimal places.

Answer 4

0.9(2x+8)=20-(x+5)
9/10(2x+8)=20-(x+5)
9(2x+8)= {10[20-(x+5)]}
18x+72=200- 10 (x+5)
18x+72=200-10x-50
18x+10x=200-50-72
28x=78
x = 78/28
x = 2.785714286

Answer 5

okie dokie.... A second opinion

distribute the 0.9 which is 0.9(2x) + 0.9(8)
1.8x + 7.2 = 20-(x+5)
distrubte the negative1 (its the minus before the parens)
1.8x + 7.2 = 20 - x - 5
combine like terms
1.8x + 7.2 = 15 - x
get all your X's on one side (from the right, add an x to both sides... from the left subtract 7.2 from both sides)
1.8x + x +7.2 -7.2 = 15 - 7.2 - x + x
2.8x = 7.8
isololate x by dividing both sides by 2.8
2.8x/2.8 = 7.8/2.8

x = 2.786.... i dunno!

Answer 6

9/10(2x+8)=20-(x+5)
=>18x+72=200-10x-50
=>28x=150-72
=>x=78/28

Answer 7

1.8x+7.2=20-x-5
1.8x+7.2=15-x
2.8x=7.8
x=78/28= 39/14 or 2 11/14

Answer 8

1.8X+7.2=20-X+5
1.8X+X=25-7.2
2.8X=17.8
X=17.8 devided by 2.8
X=6.357

Answer 9

you don't really need paranthese around the "x+5", just use the order of operations for that side (PEMDAS).