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Answer:

Required Answer

[tex]\sf 3(3x-2)=64x+40[/tex]

  • We need to express it into simplest form.
  • So we first need to simplify it

[tex]{:}\longrightarrow[/tex][tex]\sf 9x-6=64x+40 [/tex]

  • Now interchange both sides
  • As we know that if we change sides then the value won't be changed.
  • it will help us in solving easily.

[tex]{:}\longrightarrow[/tex][tex]\sf 64x+40=9x-6 [/tex]

  • Now take unknown factors to left side and numbers to right side.

[tex]{:}\longrightarrow[/tex][tex]\sf 64x-9x=-6-40 [/tex]

  • Now simplify

[tex]{:}\longrightarrow[/tex][tex]55x=-46 [/tex]

  • Now interchange sides and get x

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {-46}{55}}[/tex]

  • As the numerator and denominator don't have any common factor So this is the simplest form

[tex]\therefore[/tex][tex]{\underline{\boxed{\bf {x={\dfrac {-46}{55}}}}}}[/tex]

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