IDNLearn.com: Where your questions are met with thoughtful and precise answers. Ask your questions and receive comprehensive and trustworthy answers from our experienced community of professionals.
Sagot :
Given the equation
[tex]3(x+1)\text{ = 4(}\frac{3}{5}x\text{ +3)}[/tex]Step 1
Open brackets by multiplying the terms in the brackets by the outer factors.
[tex]3x\text{ + 3 = }\frac{12}{5}x\text{ +12}[/tex]Step 2
Collect like terms.
[tex]\begin{gathered} 3x-\frac{12}{5}x=12-3 \\ \frac{3}{5}x=8 \end{gathered}[/tex]Step 3
Multiply both sides by 5, to remove the fraction.
[tex]\begin{gathered} 5\text{ }\times\frac{3}{5}x\text{ = 8 }\times\text{ 5} \\ \Rightarrow3x=40 \end{gathered}[/tex]Step 4
Divide both sides by the coefficient of x.
[tex]\begin{gathered} \text{The coefficient of x is 3} \\ \text{Thus,} \\ \frac{3x}{3}=\frac{8}{3} \\ \Rightarrow x=\frac{8}{3} \end{gathered}[/tex]Hence, the solution to the equation is
[tex]x=\frac{8}{3}[/tex]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.
