Question

What is the value of x 2/3x+2=4

Answer 1

x = 3

Explanation:

`\sf (2)/(3)x+2=4`

Subtract 2 from both sides.

`\sf (2)/(3)x=4-2\\\\\sf (2)/(3)x=2`

Multiply both sides by 3.

`\sf2x=2*3\\2x=6`

Divide both sides by 2.

`\sf x=(6)/(2) \\\\\sf x=3`

Answer 2

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

`(2)/(3)x+2=4`

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

`(2)/(3)x=2`

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

`2x=6`

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

`x=3`

Answer

`x=3`