Question

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

Answer 1

Answer: $x=\frac{3}{10}$

Step-by-step 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

$x+\frac{4}{2}+\frac{x-3}{3}=x+\frac{2}{4}+x+\frac{3}{5}$

Grouping similar terms:

$x+2+\frac{x-3}{3}=2x+\frac{1}{2}+x+\frac{3}{5}$

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

$\frac{3x+6+x-3}{3}=\frac{10x+5+6}{10}$

Applying cross product:

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

Applying distributive property:

$40x+30=30x+33$

Isolating $x$:

$x=\frac{3}{10}$