Question

Which Which value of x makes this equation true? -3x+10=5x-8

value of x makes this equation true? -3x+10=5x-8

Answer 1

9/4

Explanation:

-3x+10=5x-8

or, -3x-5x = -8-10

or, -8x=-18

or, 8x=18 (i.e. - is cancelled)

or, x=18/8

i.e. x=9/4

Hence, the value of x is 9/4

Answer 2

The value of x is 9/4

Explanation:

-3x+ 10 = 5x - 8

Add 3x both side

-3x + 3x + 10 = 5x + 3x - 8

10 = 8x - 8

Now, Add 8 both side

10 + 8 = 8x - 8 + 8

18 = 8x

8x = 18

Now, Divide by 8 from both side

8x/8 = 18/8

x = 9/4

Thus, The value of x is 9/4

FOR VERIFICATION ONLY:

-3x + 10 = 5x - 8

-3(9/4) + 10 = 5(9/4) - 8

-27/4 + 10 = 45/4 - 8

-27 + 4 × 10/4 = 45 - 8 × 4/4

-27 + 40/4 = 45 - 32/4

13/4 = 13/4

Hence, L.HS = R.H.S

-TheUnknownScientist