Answer:
[tex]x=\frac{y+3w}{7}[/tex]
Step-by-step explanation:
The given equation is
[tex]y=7x-3w[/tex]
We need to solve this equation for x.
Isolate variable x to solve this equation for x.
Add 3w on both sides.
[tex]y+3w=7x-3w+3w[/tex]
[tex]y+3w=7x[/tex]
Divide both sides by 7.
[tex]\frac{y+3w}{7}=\frac{7x}{7}[/tex]
Cancel out common factors.
[tex]\frac{y+3w}{7}=x[/tex]
Interchange the sides.
[tex]x=\frac{y+3w}{7}[/tex]
Therefore, the formula for x is [tex]x=\frac{y+3w}{7}[/tex].
