What is the solution to this equation? 5x + 15 + 2x = 24 + 4x

To solve this equation, we must get all of the variables to one side of the equation and all of the constants (numbers) to the other side of the equation. To begin, however, we must add together the two terms on the left side of the equation that both have variables.

5x + 15 + 2x = 24 + 4x

7x + 15 = 24 + 4x

Next, we should subtract 4x from both sides of the equation so that the 4x on the right side cancels out and all of the variable terms are now on the left side.

3x + 15 = 24

Similarly, we also want to subtract 15 from both sides of the equation so that all of the constants are on the right side of the equation and we can get the variable alone on the left side.

3x = 9

Finally, we should divide both sides of the equation by 3 so that we can get rid of the coefficient of 3 on the variable x and get our answer.

x = 3

Therefore, your answer is x = 3.

Hope this helps!

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12