4+x2/3=9+x1/2

4+x2/3=9+x1/2

 

4+2/3x=9+1/2x

2/3x - 1/2x =9 - 4

1/6x = 5 multiply both sides by 6

x =5 x 6

x = 30

\(4+\frac{2}{3}x=9+\frac{1}{2}x\)

 

\([4+\frac{2}{3}x]\times6=[9+\frac{1}{2}x]\times6\)

 

\(24+\frac{12}{3}x=[9+\frac{1}{2}x]\times6\)

 

\(24+4x=[9+\frac{1}{2}x]\times6\)

 

\(24+4x=54+\frac{6}{2}x\)

 

\(24+4x=54+3x\)

 

\(24+4x-3x=54+3x-3x\)

 

\(24+1x=54+3x-3x\)

 

\(24+x=54+3x-3x\)

 

\(24+x=54+0x\)

 

\(24+x=54+0\)

 

\(24+x=54\)

 

\(24+x-24=54-24\)

 

\(x-0=54-24\)

 

\(x=54-24\)

 

\(x=30\)

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