Question

If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in complete sentences the next steps necessary to completely solve the equation for x. Include the final answer in your explanation.

Answer 1

`x = (-11)/(3)`

Explanation:

Here we have , If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in complete sentences the next steps necessary to completely solve the equation for x. Let's solve this :

2x - 8 = 5x + 3

⇒
`2x - 8 = 5x + 3`

⇒
`(2x - 8)-2x = (5x + 3)-2x` { subtract 2x from both side }

⇒
`0 - 8 = 5x-2x + 3`

⇒
`- 8 = 3x + 3`

⇒
`- 8 -3= 3x + 3-3` { subtract 3 from both sides }

⇒
`- 11 = 3x + 0`

⇒
`- 11 = 3x`

⇒
`(-11)/(3) = (3)/(3) x` { divide 3 from both sides }

⇒
`x = (-11)/(3)`