pinkster104
Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

What is x in the equation 1/3(x+2/3) = 1/6(x-4)

Sagot :

luana
[tex]\frac{1}{3}(x+\frac{2}{3})=\frac{1}{6}(x-4)\ \ \ \ | multiply\ by\ 6\\\\ 2(x+\frac{2}{3})=x-4\\\\ 2x+\frac{4}{3}=x-4\ \ \ | multiply\ by\ 3\\\\ 6x+4=3x-12\ \ \ \ | subtract\ 3x\\\\ 3x+4=-12\ \ \ | subtract\ 4\\\\ 3x=-16 \ \ \ | divide\ by\ 3\\\\ x=-\frac{16}{3}[/tex]
[tex]\frac { 1 }{ 3 } \left( x+\frac { 2 }{ 3 } \right) =\frac { 1 }{ 6 } \left( x-4 \right)[/tex]

[tex]\\ \\ 6\cdot \frac { 1 }{ 3 } \left( x+\frac { 2 }{ 3 } \right) =6\cdot \frac { 1 }{ 6 } \left( x-4 \right)[/tex]

[tex]\\ \\ 2\left( x+\frac { 2 }{ 3 } \right) =x-4\\ \\ 2x+\frac { 4 }{ 3 } =x-4\\ \\ 2x-x=-4-\frac { 4 }{ 3 }[/tex]

[tex]\\ \\ x=-\frac { 12 }{ 3 } -\frac { 4 }{ 3 } \\ \\ x=-\frac { 16 }{ 3 }[/tex]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.