Question

Solve this algebraic sum 2x+5/2=2/3-x ​

Answer 1

Answer:

-1/2=x

Step-by-step explanation:

2x+5/2=2/3-x

5/2-2/3=-x-2x

lcm

(15-6)/6=-3x

9/6=-3x

3/2=-3x

3/2/3=-x

1/2=-x

-1/2=x

Answer 2

The correct answer is "x = -11/18".

Step-by-step explanation:

$The \ given \ expression \ is\\\\2x+\frac{5}{2}=\frac{2}{3}-x \\ \\On \ adding "x" \ both \ sides,we \ get\\\\2x+\frac{5}{2}+x=\frac{2}{3}-x+x \\\\3x+\frac{5}{2}=\frac{2}{3}\\\\On \ subtracting \ "\frac{5}{2}" \ from \ both \ sides,we \ get\\\\3x+\frac{5}{2} -\frac{5}{2} =\frac{2}{3} -\frac{5}{2} \\\\3x=\frac{2}{3} -\frac{5}{2} \\\\On \ taking \ LCM,we \ get\\\\3x=\frac{4-15}{6}\\\\ 3x=\frac{-11}{6} \\\\On \ applying \ cross \ multiplication,we \ get\\\\18x=-11\\\\x=-\frac{11}{18}$

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