Answer the following 2 questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
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1. Solve and identify the solution. 6(6x - 2) + 8(1 - 5x) = 2x
A) [tex]x = \frac{2}{3}[/tex]
B) Infinite many solutions
C) No solution
D) x = [tex]-\frac{2}{3}[/tex]

2. Solve and identify the solution. 2(x + 5) = 2x + 5
A) x = 2
B) x = -2
C) no solution
D) infinite solution

Respuesta :

1. Solve and identify the solution. 6(6x - 2) + 8(1 - 5x) = 2x

Answer: D) x = -2/3


2. Solve and identify the solution. 2(x + 5) = 2x + 5

C) no solution

1. [tex]\mathrm{Expand\:}6\left(6x-2\right)+8\left(1-5x\right)\\-4x-4=2x\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\-4x-4+4=2x+4\\Simplify\\-4x=2x+4\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\-4x-2x=2x+4-2x\\\mathrm{Simplify}: -6x=4\\\mathrm{Divide\:both\:sides\:by\:}-6: \frac{-6x}{-6}=\frac{4}{-6}\\Simplify\\x=-\frac{2}{3}[/tex]

2. [tex]\mathrm{Expand\:}2\left(x+5\right)\\2x+10=2x+5\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\2x+10-10=2x+5-10\\Simplify\\2x=2x-5\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\2x-2x=2x-5-2x\\Simplify\\0=-5\\The\:sides\:are\:not\:equal\\No\:Solution[/tex]