Question

If x+4/2+x-3/3=x+2/4+x+3/5 find the value of x

Answer 1

Answer:
`x=(3)/(10)`

Explanation:

The expression is not written clearly. However, let's assume it is:

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

or

`x+(4)/(2)+(x-3)/(3)=x+(2)/(4)+x+(3)/(5)`

Grouping similar terms:

`x+2+(x-3)/(3)=2x+(1)/(2)+x+(3)/(5)`

Calculating the least common multiple (l.c.m) in the denominators of both sides of the equation:

`(3x+6+x-3)/(3)=(10x+5+6)/(10)`

Applying cross product:

`10(4x+3)=3(10x+11)`

Applying distributive property:

`40x+30=30x+33`

Isolating
`x`:

`x=(3)/(10)`