Answer:
[tex]x=\frac{-12}{5} y+\frac{79}{5}[/tex]
Step-by-step explanation:
[tex]5(y-4)-3(y-2)+5(x-3)=10[/tex]
Add -12y to both sides:
[tex]5x+12y-69-12y=10-12y[/tex]
[tex]5x-69=-12y+10[/tex]
Add 69 to both sides:
[tex]5x-69+69=-12y+10+69[/tex]
[tex]5x=-12y+79[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5} =\frac{-12+79}{5}[/tex]
[tex]x=\frac{-12}{5} y + \frac{79}{5}[/tex]
