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Answer:
[tex]x=\frac{-1}{6}[/tex]
Step-by-step explanation:
[tex]9(x+1) -4x = 5-(x-3)[/tex]
[tex]9(x+1) -4x = 5-(x-3) \\ [/tex]
[tex]9x+9\cdot1-4x=5-\left(x-3\right)[/tex]
[tex]9x+9-4x=5-\left(x-3\right)[/tex]
[tex]\left(9x-4x\right)+9=5-\left(x-3\right)[/tex]
[tex]5x+9=5-\left(x-3\right)[/tex]
[tex]5x+9=5-x+3[/tex]
[tex]5x+9=-x+\left(5+3\right)[/tex]
[tex]5x+9=-x+8[/tex]
[tex]5x+9=-x+8[/tex]
[tex]5x+9+x=-x+8+x[/tex]
[tex]5x+x+9=-x+8+x[/tex]
[tex]6x+9=-x+8+x[/tex]
[tex]6x+9=-x+x+8[/tex]
[tex]6x+9=8[/tex]
[tex]6x+9=8[/tex]
[tex]6x+9-9=8-9[/tex]
[tex]6x=8-9[/tex]
[tex]6x=-1[/tex]
[tex]\frac{6x}{6}=\frac{-1}{6}[/tex]
[tex]x=\frac{-1}{6}[/tex]