Question

X-2/8 - x-4/7 = 2x-3/12 - 11/4

Answer 1

The value of x in the given equation is 18

Therefore the value of x is x=18

Step-by-step explanation:

Given equation is $\frac{x-2}{8}-\frac{x-4}{7}=\frac{2x-3}{12}-\frac{11}{4}$

To solve the given equation for x :

$\frac{x-2}{8}-\frac{x-4}{7}=\frac{2x-3}{12}-\frac{11}{4}$

$\frac{7(x-2)-8(x-4)}{8\times 7}=\frac{2x-3-11(3)}{12}$

$\frac{7(x)-7(2)-8(x)+8(4)}{56}=\frac{2x-3-33}{12}$ ( by using the distributive property a(x+y)=ax+ay )

$\frac{7x-14-8x+32}{56}=\frac{2x-36}{12}$

$\frac{-x+18}{56}=\frac{2(x-18)}{12}$ ( by adding the like terms )

$\frac{-x+18}{56}=\frac{x-18}{6}$

$\frac{-x+18}{28}=\frac{x-18}{3}$

$3\times (-x+18)=28\times (x-18)$

$3(-x)+3(18)=28(x)+28(-18)$ ( by using the distributive property a(x+y)=ax+ay )

$-3x+54=28x-504$

$-3x+54-(28x-504)=28x-504-(28x-504)$

$-3x+54-28x+504=28x-504-28x+504$ ( by adding the like terms )

$-31x+558=0$

$-31x=-558$

$x=\frac{558}{31}$

$x=18$

Therefore the value of x in the given equation is 18

Therefore the value of x is x=18