Question

# 3(x+1)=−12−5x Which of the following best describes the solution set to the equation shown above ?

A
The equation has no solution.
B
The equation has exactly one solution, x=716
C
The equation has exactly one solution, x=74
D
The equation has infinitely many solutions

Solution

## The correct option is B The equation has exactly one solution, x=−716 3(x+1)=−12−5x 3x+3=−12−5x Add 5x on both sides and substract 3 from both sides 3x+3+5x−3=−12−5x+5x−3 8x+3 =−12−3 8x=−72 x=−716 The equation has exactly one solution, x=−716  Hence, option B is correct.Mathematics

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