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Solving for x in Algebraic Equations

To solve for x, we can perform inverse operations to cancel values out.

  • For addition, we can do subtraction.
  • For multiplication, we can do division.
  • And vise versa.

Eventually, we must isolate x to one side of the equal sign, or equation. That will give us its value.

Solving the Question

[tex]\dfrac{2}{3}x+2=4[/tex]

⇒ First, isolate the x term by subtracting 2 from both sides:

[tex]\dfrac{2}{3}x=2[/tex]

⇒ Now, multiply both sides by 3 to get rid of the fraction:

[tex]2x=6[/tex]

⇒ Finally, divide both sides by 2 to isolate x:

[tex]x=3[/tex]

Answer

[tex]x=3[/tex]

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