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15 x-3=9x+1
Which of the following is the solution to the equation shown?
Choose 1 answer:
(A) 
x=(1)/(6)
(B) 
x=-(2)/(3)
(C) 
x=(2)/(3)
(D) 
x=1

15x3=9x+115x - 3 = 9x + 1\newlineWhich of the following is the solution to the equation shown?\newlineChoose 11 answer:\newline(A) x=16x=\frac{1}{6}\newline(B) x=23x=-\frac{2}{3}\newline(C) x=23x=\frac{2}{3}\newline(D) x=1x=1

Full solution

Q. 15x3=9x+115x - 3 = 9x + 1\newlineWhich of the following is the solution to the equation shown?\newlineChoose 11 answer:\newline(A) x=16x=\frac{1}{6}\newline(B) x=23x=-\frac{2}{3}\newline(C) x=23x=\frac{2}{3}\newline(D) x=1x=1
  1. Subtract 9x9x from both sides: Subtract 9x9x from both sides of the equation to get all the xx terms on one side.\newline15x39x=9x+19x15x - 3 - 9x = 9x + 1 - 9x\newlineThis simplifies to:\newline6x3=16x - 3 = 1
  2. Add 33 to both sides: Add 33 to both sides of the equation to isolate the term with x.\newline6x3+3=1+36x - 3 + 3 = 1 + 3\newlineThis simplifies to:\newline6x=46x = 4
  3. Divide both sides by 66: Divide both sides of the equation by 66 to solve for xx.6x6=46\frac{6x}{6} = \frac{4}{6}This simplifies to:x=23x = \frac{2}{3}