Answer:
[tex]x=5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]3.8x-2(x-9)=4.4x+5[/tex]
Distribute the -2:
[tex]3.8x+(-2x+18)=4.4x+5[/tex]
Combine like terms on the left:
[tex]1.8x+18=4.4x+5[/tex]
Subtract 1.8x from both sides. The left cancels:
[tex]18=2.6x+5[/tex]
Subtract 5 from both sides. The right cancels:
[tex]13=2.6x[/tex]
Divide both sides by 2.6:
[tex]x=13/2.6[/tex]
Simplify (multiply both layers by 10 to get rid of the decimal):
[tex]x=130/26[/tex]
Reduce (divide both layers by 26):
[tex]x=5[/tex]
So, the value of x is 5.
