All categories

4 years ago

Can you help me solve for x on this equation 2x+8=3x-4

Mathematics

2 answers:

weeeeeb [17]4 years ago

5 0

Answer:

Step-by-step equation:

2x + 8 = 3x - 4

2x = 3x - 4 - 8

2x = 3x - 12

2x - 3x = -12

-1x = -12

x = -12 / -1

x = 12

Proof:

2(12) + 8 = 3(12) - 4

24 + 8 = 3(12) - 4

24 + 8 = 36 - 4

32 = 36 - 5

32 = 32 → both sides of the equation are equal, our answer is correct

Hope it helped,

BioTeacher101

Paul [167]4 years ago

4 0

Answer: 12

Step-by-step explanation:

2x + 8 = 3x - 4

In order to solve for x, we must isolate x. We can do this by moving all of the numbers with "x" in it to the left side of the equal side, and move everything else to the right of it!

Let's start off by subtracting 8 from both sides. Remember : what you do to one side, you must do it to the other.

2x + 8 - 8 = 3x - 4 - 8

Simplify!

2x = 3x - 12

Now, let's subtract 3x from both sides.

2x - 3x = 3x - 12 - 3x

Simplify!

-x = -12

Divide both sides by -1.

-x ÷ -1 = -12 ÷ -1

Simplify.

x = 12

You might be interested in

Kelly has $5.38 in her account before receiving her $832.19

Mumz [18]

$-447.82

If she is widthdrawling and paying with money that she doesn’t have, before she puts her paycheck in, then she is in debt of $447.82 which makes it negative.

8 0

3 years ago

How to estimate 289 and 7

Lunna [17]

U can round 289 to 290 and round 7 to 5 or 10

4 0

3 years ago

One solution of x^2-64=0 is 8. what is the other solution?

ivann1987 [24]

X² - 64 = 0
(x - 8)(x + 8) = 0

x = - 8, 8

Your other solution is - 8

4 0

4 years ago

Read 2 more answers

2. Find the area of the regular polygon.

frozen [14]

Answer:

a. 80 units

b. 482.843 units²

Step-by-step explanation:

First things first, we need to solve for the side of the octagon. We can do so by using Pythagorean Theorem: a² + b² = c² where c is the hypotenuse and a and b are the other two sides.

12² + b² = 13²

144 + b² = 169

b² = 25

b = 5

Now that we know half of the side of the octagon is 5, we know that one side of the octagon is 10.

a. To find perimeter we just add every side together (or since every side is the same size, we multiply by 8)

10 × 8 = 80

b. The formula for finding the area of an octagon is 2(1 + radical 2)a² where a is the length of a side. By plugging in to a calculator we get:

2(1 + radical 2)(10)² = 482.843

3 0

3 years ago

In △ABC, point P∈ AC with AP:PC=1:3, point Q∈ AB so that AQ:QB=3:4, Find the ratios APBQ : APBC and AAQP : AABC.

kykrilka [37]

Answer: APBQ : APBC=4:21 and AAQP : AABC= 3:28.

Explanation: given : Here ABC is a triangle where AP:PC=1:3

let AP=1x and PC=3x, where x is the common value of AP and PC.

And AQ:QB = 3:4, similarly, let AQ=3y and QB= 4y, where y is the common value of AQ and QB.

Thus, AC= AP+PC= 1x+3x=4x and AB= AQ+QB= 3y+4y=7y

since, we have to find out APBQ : APBC= AP×BQ: AB×PC= 1x×4y: 7y×3x=4xy:21xy=4:21

So, APBQ : APBC=4:21

Now, AAQP : AABC= AQ×AP:AB×AC= 3y×1x:7y×4x=3xy:28xy=3:28

Thus, AAQP : AABC= 3:28.

4 0

4 years ago