Answer: [tex]x=\frac{y+6}{2}[/tex]
Step-by-step explanation:
[tex]12-2x=-2\left(y-x\right)[/tex]
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(Expand: [tex]-2\left(y-x\right)[/tex])
[tex]=-2y-\left(-2\right)x[/tex]
[tex]=-2y+2x[/tex]
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[tex]12-2x=-2y+2x[/tex]
[tex]-2x=-2y+2x-12[/tex]
[tex]-2x-2x=-2y+2x-12-2x[/tex]
[tex]-4x=-2y-12[/tex]
[tex]\frac{-4x}{-4}=-\frac{2y}{-4}-\frac{12}{-4}[/tex]
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(Simplify: [tex]\frac{-4x}{-4}[/tex])
[tex]\frac{-4x}{-4}[/tex]
[tex]=\frac{4x}{4}[/tex]
[tex]=x[/tex]
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(Simplify: [tex]-\frac{2y}{-4}-\frac{12}{-4}[/tex])
[tex]=\frac{-2y-12}{-4}[/tex]
[tex]-\frac{-2y-12}{4}[/tex]
[tex]\frac{-2y-12}{4}[/tex]
[tex]=-\frac{y+6}{2}[/tex]
[tex]-\left(-\frac{y+6}{2}\right)[/tex]
[tex]=\frac{y+6}{2}[/tex]
[tex]x=\frac{y+6}{2}[/tex]
