X 6 4 x 3 5 5x 4 8

Asked by admin @ 16/08/2021 in Math viewed by 434 People

Find the solution of x+6/4+x-3/5=5x-4/8

Answered by admin @ 16/08/2021

GIVEN :

The equation is $\frac{x+6}{4}+\frac{x-3}{5}=\frac{5x-4}{8}$

TO FIND :

The solution of the given equation $\frac{x+6}{4}+\frac{x-3}{5}=\frac{5x-4}{8}$

SOLUTION :

Given equation is $\frac{x+6}{4}+\frac{x-3}{5}=\frac{5x-4}{8}$

$\frac{5(x+6)+4(x-3)}{20}=\frac{5x-4}{8}$

Now we have to find the solution for the given equation that is to find the value of x.

By using the Distributive property :

a(x+y)=ax+ay

$\frac{5(x)+5(6)+4(x)+4(-3)}{20}=\frac{5x-4}{8}$

$\frac{5x+30+4x-12}{20}=\frac{5x-4}{8}$

$\frac{9x+18}{20}=\frac{5x-4}{8}$

$9x+18=\frac{5x-4}{8}\times 20$

$9x+18=\frac{5x-4}{2}\times 5$

$(9x+18)\times 2=(5x-4)\times 5$

By using the Distributive property :

a(x+y)=ax+ay

$9x(2)+18(2)=5x(5)-4(5)$

$18x+36=25x-20$

$18x+36-25x+20=0$

Adding the like terms we get,

$-7x+56=0$

-7x=-56

$x=\frac{-56}{-7}$

$x=8$

∴ the value of x in the given equation is 8.

5x 4 8 x 3 5 x 6 4

Asked by admin @ 13/08/2021 in Math viewed by 424 persons

5x-4/8- x-3/5=x+6/4....

X 3 x 4 x 5 x 6 10 6

Asked by admin @ 03/08/2021 in Math viewed by 334 persons

X-3/x-4+x-5/x-6=10/6

1 x 1 3 5x 1 5 x 4

Asked by admin @ 12/08/2021 in Math viewed by 399 persons

Solve x :1/ x+1+3/5x+1=5/x+4

1 2 3 4 5 6 7 8 9 0

Asked by admin @ 02/08/2021 in Math viewed by 409 persons

0,1,2,3,4,5,6,7,8,9 Use the digits above once each only to compose two fractions which when added together equal 1.

0 1 2 3 4 5 6 7 8 9

Asked by maham237 @ 19/07/2021 in Mathematics viewed by 417 persons

Which number(s) from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, if any, will solve this equation? I PROMISE TO MARK BARINLEST + EXTRA POINTS!!!!!!!!!!!!

1 2 3x 5 4 1 3 x 6

Asked by admin @ 17/08/2021 in Math viewed by 344 persons

1/2(3x/5+4)=1/3(x-6)

2 3 4 5 6 7 8 9 10

Asked by admin @ 13/08/2021 in Math viewed by 408 persons

Cube of 2,3,4,5,6,7,8,9,10,11,12,13,14,15

2 x 5 3 x 2 8 7 x 4

Asked by admin @ 06/08/2021 in Math viewed by 372 persons

2(x - 5)+ 3(x- 2) = 8 + 7(x- 4)

If 5x 17 7 then x 6 5 4 3

Asked by admin @ 06/08/2021 in Math viewed by 284 persons

If 5x - 17 = -x + 7, then x =

X 3 5 x 4 7 6 2x 1 35

Asked by admin @ 06/08/2021 in Math viewed by 461 persons

Solve: x-3/5+x-4/7=6-2x-1/35.

Y 6 4 y 3 5 5y 4 8

Asked by admin @ 13/08/2021 in Math viewed by 307 persons

Solve this equation: y+6÷4+y-3÷5=5y-4÷8

X 1 x 3 x 4 x 6 24

Asked by admin @ 17/08/2021 in Math viewed by 330 persons

(x+1) (x+3) (x-4) (x-6) +24

1 x 3 1 x 5 1 6

Asked by admin @ 26/08/2021 in Math viewed by 349 persons

Solve: 1/x-3 - 1/x+5 = 1/6 , x is not equal to 3 , -5.

X 1 x 2 x 3 x 4 x 5

Asked by admin @ 07/11/2021 in Mathematics viewed by 294 persons

PLEASE HELP ASAP!!! Simplify the following expression. (x+1)^2-3(x+2) a. x^2-3x+7 b. x^2-x-5 c. x^2-3x-5 d. x^2-x+3 Simplify the following expression. (5x^3y^-3)(-6x^4y) a. -30x^7y^2 b. -30x^12y^3 c. -30x^12/y^3 d. -30x^7/y^2 Solve …