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6(3x/2-4) =30

Side note: 3x/2 is a fraction


Sagot :

Answer:

x = 6

Step-by-step explanation:

Given

6( [tex]\frac{3x}{2}[/tex] - 4 ) = 30 ( divide both sides by 6 )

[tex]\frac{3x}{2}[/tex] - 4 = 5 ( add 4 to both sides )

[tex]\frac{3x}{2}[/tex] = 9 ( multiply both sides by 2 to clear the fraction )

3x = 18 ( divide both sides by 3 )

x = 6

Answer:

x = 6

Step-by-step explanation:

[tex]6( \frac{3x}{2} - 4) = 30[/tex]

Dividing both the sides by 6 ,

[tex] = > \frac{6( \frac{3x}{2} - 4) }{6} = \frac{30}{6} [/tex]

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

Adding 4 on both the sides ,

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

[tex] = > \frac{3x}{2} = 9[/tex]

Multiplying both the sides by 2 ,

[tex] = > \frac{3x}{2} \times 2 = 9 \times 2[/tex]

[tex] = > 3x = 18[/tex]

Dividing both the sides by 3,

[tex] = > \frac{3x}{3} = \frac{18}{3} [/tex]

[tex] = > x = 6[/tex]