Question

Solve for x
7x – 1= 2x + 3
Give your answer as a fraction in its simplest form.

Answer 1

x = 4/5.

Explanation:

7x - 1 = 2x + 3

Move one to the other side.

7x = 2x + 4

Subtract the 2x to the other side

5x = 4

Divide both sides by 5

x = 4/5.

Answer 2

x = 0.8

Explanation:

To find x, we need to isolate the constants on one side and the variables on the other. Simply subtract 2x both sides and add 1 both sides.

⇒
`7x - 1= 2x + 3`

⇒
`7x - 1 - 2x + 1 = 2x + 3 + 1 - 2x`

⇒
`5x = 2x + 3 + 1 - 2x`

⇒
`5x = 3 + 1`

Now, simplify the RHS.

⇒
`5x = 3 + 1`

⇒
`5x = 4`

Finally, divide 5 both sides to isolate the x variable.

⇒
`(5x)/(5) = (4)/(5)`

⇒
`x = (4)/(5) = 0.8`