SOLUTION: Find all solutions $x$ to the equation 5(2x + 1) + 5*2 = 5*x + 5(x + 3).

Algebra.Com
Question 1209646: Find all solutions $x$ to the equation
5(2x + 1) + 5*2 = 5*x + 5(x + 3).
Answer by ikleyn(52834)   (Show Source): You can put this solution on YOUR website!
.
Find all solutions $x$ to the equation
5(2x + 1) + 5*2 = 5*x + 5(x + 3).
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Simplify, step by step

    5(2x + 1) + 5*2 = 5*x + 5(x + 3)

     10x + 5 + 10   = 5x + 5x + 15

     10x + 15       = 10x + 15.


At this point, you see that the left side is identical to the right side.


It means that there are infinitely many solutions: every real number x is the solution.

Solved, with comprehensive explanations.



RELATED QUESTIONS

Find all solutions to the equation |2x-1| -2=7 A) x=-5 or x=4 B) x=5 or x=-5 C) x=3 or (answered by eversteen)
Find all the solutions to (x + 4)/(x + 5) = (x - 3)/x + (2x - 7)/(x +... (answered by math_tutor2020)
Find all real solutions of the equation (x)square/x-1 + 1/x+2 = 5/4 (answered by Nate)
1/x-1 + 1/x+2 = 5/4 Find all real solutions of the... (answered by Nate)
Find all solutions: 3+2... (answered by edjones)
Find all solutions to the equation. 7 sin^2x - 14 sin x + 2 = -5 Show all your... (answered by Fombitz,MathTherapy)
Find all solutions of the following equation x^12/5 +5 x^7/5 +6 x^2/5 =... (answered by psbhowmick)
Find all solutions to the equation. 7 sin^2(x) - 14 sin x + 2 =... (answered by lwsshak3)
Find all solutions to the equation. 7 sin^2 x - 14 sin x + 2 =... (answered by ikleyn,josmiceli)