The equation is 36 - 4x = 6.
Solution:
To write the equation without fraction.
[tex]$4-\frac{4}{9} x=\frac{2}{3}[/tex]
[tex]$\frac{4}{1} -\frac{4}{9} x=\frac{2}{3}[/tex]
The denominators must be same to add/subtract the fractions.
LCM of 1, 9 and 3 = 9.
Multiply first term by [tex]\frac{9}{9}[/tex] and [tex]\frac{2}{3}[/tex] by [tex]\frac{3}{3}[/tex] to make the denominator same.
[tex]$\frac{4\times9}{1\times9} -\frac{4}{9} x=\frac{2\times3}{3\times3}[/tex]
[tex]$\frac{36}{9} -\frac{4}{9} x=\frac{6}{9}[/tex]
[tex]$\frac{36-4x}{9} =\frac{6}{9}[/tex]
Multiply by 9 on both sides.
[tex]$\frac{36-4x}{9}\times9 =\frac{6}{9}\times9[/tex]
Both 9 in the numerator and denominator get canceled.
36 - 4x = 6
This term does not have fraction.
Hence the equation is 36 - 4x = 6.
