3 years ago

Solve for x 5x+5x+3=4(2x+1)-2

1 answer:

6 0

We need to add like terms and distribute before we try to isolate X.
10x+3=8x+4-2
10x+3=8x+2

Now let's isolate x. We should start with subtracting 8x from both sides.
2x+3=2
Now, let's subtract 3 from both sides.
2x=-1
Now divide each side by 2.
X=-0.5
We now know x is -0.5, so let's check.
5(-0.5)+5(-0.5)+3=4[2(-0.5)+1]-2
-2.5-2.5+3=4(0)-2
-5+3=0-2
-2=-2

So, X= -0.5

You might be interested in

Help need ASAP!! Thanks!! Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangl

Basile [38]

Answer:

The perimeter of rectangle is $18\ cm$

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

$x=y+5$ ----> equation A

$120=xy+2x^{2}+2y^{2}$ ---> equation B (area of the constructed figure)

substitute the equation A in equation B

$120=(y+5)y+2(y+5)^{2}+2y^{2}$

$120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0$

using a graphing tool -----> solve the quadratic equation

see the attached figure

The solution is

$y=2\ cm$

Find the value of x

$x=y+5$ ----> $x=2+5=7\ cm$

Find the perimeter of rectangle

$P=2(x+y)=2(7+2)=18\ cm$

8 0

3 years ago

Solve the equation.<br> 5 left parenthesis 4 x plus 9 right parenthesis equals

coldgirl [10]

Answer:

The answer is 20x + 45

Step-by-step explanation:

SO distribute 5 into 4x and 9 to get 20x + 45

7 0

3 years ago

The product of 25 and an unknown number is subtracted from 36. The result is -114.

svetlana [45]

Let x = the unknown number to get x = 6

3 0

4 years ago

Solve for w.<br> -4 + w =-10

nignag [31]

w=-6 because you subtract -4 from -10 so the answer is -6

8 0

4 years ago

Read 2 more answers

A circle with the equation (x + 4)2 + (y - 3)2 = 9 is reflected over the line y = -1. What is the equation of the image?

Serggg [28]

The center of the given circle = (-4, 3)
So the center of the image = (-4, 3 -2(4) = (-4, -5)

So the equation of the image is
(x + 4)^2 + (y + 5)^2 = 9

Its choice 3.

5 0

3 years ago