![\mathfrak{\pink{\huge{Hello\:Mate!!!}}}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a8j9bl0qmhym8b3l6h9b6di2a85t2xq0w7.png)
![<b><u>Answer</u></b>](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6v21ic7hkn3093etn5ivm9mdxd58w43jt5.png)
![<b>5x - 6y = - 12</b>](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2mp1wgsklxbk0ek0h5uuvibcpbe94i2enu.png)
![<b><u>Step-by-step explanation</u></b>](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ibhoryo9ptieql1xa1sdgnc0uawn7rsgba.png)
To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.
![<b>Ax+By=C</b>](https://img.qammunity.org/2020/formulas/mathematics/middle-school/phy9qbm1g4cav1sj22k368nu9m9dwk990w.png)
A must be positive, so multiply both sides of the equation by - 1.
Multiply - 1 by - 3x + 6y
-1 (-5x+6y) = - 1 × 12
Apply the distributive property.
-1 (-5x) - 1 (6y) = - 1 × 12
5x - 6y = - 12
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