Respuesta :
x/3=5(x-11)
first distribute the 5 x/3=5x-55
then multiply both sides by 3 x=15x-165
then subtract 15x from both sides -14x=-165
now divide both sides by -14 x=165/14
answer x=165/14
Answer:
[tex]\large\boxed{x=\dfrac{165}{14}}[/tex]
Step-by-step explanation:
[tex]\dfrac{x}{3}=5(x-11)\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{x}{3\!\!\!\!\diagup_1}=3\cdot5(x-11)\\\\x=15(x-11)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\x=15x-(15)(11)\qquad\text{subtract 15x from both sides}\\\\-14x=-165\qquad\text{divide both sides by (-14)}\\\\x=\dfrac{165}{14}[/tex]