math problem?

Question

Solve for x:

(x+5)/(x-6)=(3/4)

Can somebody help me solve this and give me a brief explanation!

Answer 1

x+5 = (3/4)(x-6)

multiply both sides by 4 to eliminate denominator

4x + 20 = 3x - 18

x = -38

Answer 2

firstly (cofficeient means when every number with any alphabet example 4x, 9 x ] is called cofficeint value.

solution.
(x+5)/(x-6)=(3/4)

we have to know the value of "x"

here (x-6) is divide with (x+5) and right side 3/4
first 4 is multiply with (x+5)
second 3 is multiply(x-6)

[4 * (x+5) = (x-6) * 3 ]

[4x+20 = 3x-18]

taking cofficient amount one side

here 3x is in positive (+) form
than 3x goes on left side his sign is change in to sub (-)

[4x-3x+20= -18] (4x-3x = 1x)

x+20= -18
here 20is add (+) than left side goes and its sign change in sub(-)

[x= -18-20]

[x= -38] Answer

you answer has solved. The value of x is -38

Answer 3

(x+5)/(x-6)=3/4

Multiply across

(x+5)*4 = 3*(x-6)

4x + 20 = 3x -18

x = -38

Answer 4

just like x/y=3/4 is equal to 4x=3y (cross multiply).. you do the same with the equation:

4(x+5) = 3(x-6)

which is:
4x+20=3x-18

Which simplifies to:

x=-38

Answer 5

if you move an item to the other side of equation change the minus to plus, multiplication into division vice versa.

now move the divisions to the other sides as multip.

(x+5) * 4 = 3 * (x-6)

4x+20 = 3x - 18

same again,

4x-3x = -18 - 20

x = -38

Answer 6

4.(x + 5) = 3.(x - 6)
4x + 20 = 3x - 18
x = - 38

Answer 7

(x+5)/(x-6)=(3/4)

3(x-6)=4(x+5), by cross multiplying

3x-18=4x+20

-x=38

x=-38

Answer 8

(x+5)/(x-6)=(3/4)

3(x-6)=4(x+5), cross multiplying

3x-18=4x+20

4x-3x=-18-20 , bring over all the 'x' to one side

x=-38