Question

solve x+2/3-x-3/4=5-x-1/2 and verify the answer​

Answer 1

Answer:

x = 55/12 ≈ 4.583333

Step-by-step explanation:

Answer 2

Answer:

Value of x will be x=\frac{55}{12}x=

12

55

Step-by-step explanation:

We have given equation x+\frac{2}{3}-x-\frac{3}{4}=5-x-\frac{1}{2}x+

3

2

−x−

4

3

=5−x−

2

1

So x-x+x=5-\frac{1}{2}+\frac{3}{4}-\frac{2}{3}x−x+x=5−

2

1

+

4

3

−

3

2

x=5-\frac{1}{2}+\frac{1}{12}x=5−

2

1

+

12

1

x=5-\frac{5}{12}x=5−

12

5

x=\frac{55}{12}x=

12

55

Now verify

LHS

x+\frac{2}{3}-x-\frac{3}{4}x+

3

2

−x−

4

3

-\frac{1}{12}−

12

1

RHS

5-x-\frac{1}{12}5−x−

12

1

5-x-\frac{1}{2}5−x−

2

1

5-\frac{55}{12}-\frac{1}{2}=\frac{-1}{12}5−

12

55

−

2

1

=

12

−1

So LHS = RHS

Hence verified

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