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

$x = \frac{-11}{3}$

Step-by-step 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 }

⇒ $- 11 = 3x + 0$

⇒ $- 11 = 3x$

⇒ $\frac{-11}{3} = \frac{3}{3} x$ { divide 3 from both sides }

⇒ $x = \frac{-11}{3}$