Answer: " x = 7 " .
__________________________________________
Step-by-step explanation:
__________________________________________
Given:
x + (2/7)x = 9 ; Solve for "x" ;
Note:
Start by simplifying the "left hand side of the equation:
;
__________________________________________
Now, rewrite the equation:
__________________________________________
; Solve for "x" ;
We now multiply each side of the equation by "7" ;
to get rid of the "denominator" within the "fraction value"
on the "left-hand side" of the equation:
;
On the "left-hand side" of the equation:
The "7's" cancel out to "1's" ; since "7÷7 = 1 " ;
And we are left with "9x" on the "left-hand side" of the equation.
On the "right-hand side" on the equation; we find that: "9 * 7 = 63 ."
So; we can rewrite the equation:
9x = 63 ;
To solve for "x" ; we divide each side of the equation by: "9" ;
to isolate "x" on one side of the equation;
& to solve for "x" ;
9x / 9 = 63 / 9 ;
to get:
x = 7 .
__________________________________________
Hope this answer—and explanation—is helpful!
Best wishes to you!
__________________________________________