5/8x + 1/16x = 3/16 +x?

Use brackets : -
( 5 / 8 ) x + ( 1/16 ) x = 3 / 16 + x
(10 / 16) x + (1 / 16) x - x = 3 / 16
(- 5 / 16) x = 3 /16
- 5 x = 3
x = - 3 / 5

Change 5/8x into 10/16x. [5 x 2 / 8 x 2 = 10/16]

10/16x +1/16x = 3/16 + x [Rewrite Equation]

11/16x = 3/16 + x [Combine Like Terms]

11/16x - x = 3/16 [Subtract x]

Change x into 16/16x

11/16x -16/16x = 3/16 [Rewrite Equation]

-5/16x = 3/16 [Combine Like Terms]

x = 3/16 / -5/16 [Divide; 16 can be canceled out]

x = -3/5 <----Solution

5/8x + 1/16x = 3/16 + x
10/16x + 1/16x = 3/16 + x
11/16x = 3/16 + 16/16x
-5/16x = 3/16
x = (3/16)(-16/5)
x = -3/5

To solve for x, first make all terms to have the same denominator:

10/16 x + 1/16 x = 3/16 + 16/16 x

Then remove the 16:

10x + x = 3 + 16x

Now isolate x on one side, and divide:

-5x = 3
x = -3/5

5/8x + 1/16x = 3/16 + x
10/16x + 1/16x = 3/16 + x
11/16x = 3/16 + 16/16x
-5/16x = 3/16
x = (3/16)(-16/5)
x = -3/5

To remove the fractions multiply throughout by 16 then:

10x + x = 3 + 16x
11x = 3 + 16x
5x = -3
x= -3/5

5/8x + 1/16x = 3/16x + x
10/16x + 1/16x - 3/16x = x
8/16x = x
x = 8/16x
16x^2 = 8
x^2 = 8/16
x = ±√(8/16)