pinkster104
Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.