Answer :

The value of [tex]x[/tex] is 7.

Important information:

  • The given equation is [tex]\dfrac{2}{3}(9x-6)=4x+10[/tex].

Solve the equation:

The given equation can be written as:

[tex]\dfrac{2}{3}(9x)-\dfrac{2}{3}(6)=4x+10[/tex]

[tex]6x-4=4x+10[/tex]

[tex]6x-4x=4+10[/tex]

[tex]2x=14[/tex]

Divide both sides by 2.

[tex]x=\frac{14}{2}[/tex]

[tex]x=7[/tex]

Therefore, the value of [tex]x[/tex] is 7.

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