Answer:
The value x in equation [tex]\frac{x-2}{2}=\frac{x+1}{5}[/tex] is 4
Therefore x=4
Step-by-step explanation:
Given that equation is [tex]\frac{x-2}{2}=\frac{x+1}{5}[/tex]
To simplify the given equation :
[tex]\frac{x-2}{2}=\frac{x+1}{5}[/tex]
Multiply the above equation by 10 on both sides
[tex]\frac{x-2}{2}\times 10=\frac{x+1}{5}\times 10[/tex]
[tex]5(x-2)=2(x+1)[/tex]
[tex]5(x)+5(-2)=2(x)+2(1)[/tex]
[tex]5x-10=2x+2[/tex]
[tex]5x-10-(2x+2)=2x+2-(2x+2)[/tex]
[tex]5x-10-2x-2=2x-2-2x+2[/tex]
[tex]3x-12=0[/tex]
[tex]3x-12+12=0+12[/tex]
[tex]3x=12[/tex]
[tex]x=\frac{12}{3}[/tex]
Therefore x=4
The value x in equation [tex]\frac{x-2}{2}=\frac{x+1}{5}[/tex] is 4
