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## Homework Statement

Solve these linear equations:

## Homework Equations

[tex]\frac{x-4}{6} - \frac{x+5}{3} = \frac{4-x}{2}[/tex]

## The Attempt at a Solution

[tex]\frac{x-4}{6} - \frac{x+5}{3} = \frac{4-x}{2}[/tex]

Multiplied by 6

[tex]\frac{6x-18}{6} - \frac{6x+30}{3} = \frac{24-6x}{2}[/tex]

Simplified

[tex]x-18-2x+30 =12-6x[/tex]

Group common terms

[tex]-2x+12=12-6x[/tex]

Group common terms

[tex]4x+12=12[/tex]

[tex]4x[/tex]

I don't think, well I'm pretty sure it isn't right. I'm not sure when I've gone wrong. I can do simpler linear equations, but this has got me stumped. If anyone can provide any insight that would be great. I haven't done linear equations for a few years now.