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3 years ago

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

Mathematics

2 answers:

weeeeeb [17]3 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]3 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

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3 years ago

a train travels 288km at a uniform speed.if the speed has been 4km per hour more it would have taken one hour less for the same

Lostsunrise [7]

Given:

A train travels 288 km at a uniform speed.

If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

To find:

The initial speed of the train.

Solution:

Let x km/h be the initial speed on the train.

New speed of train = (x+4) km/h

We know that,

$Time=\dfrac{Distance}{Speed}$

Time taken by the train initially to cover 288 km is $\dfrac{288}{x}$ hours.

New time taken by the train to cover 288 km is $\dfrac{288}{x+4}$ hours.

It is given that If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

$\dfrac{288}{x}-\dfrac{288}{x+4}=1$

$\dfrac{288(x+4)-288x}{x(x+4)}=1$

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$0=x^2+4x-1152$

Splitting the middle term, we get

$x^2+36x-32x-1152=0$

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Therefore, the speed of the train is 32 km/h.

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3 years ago