X/2 + 5x/6 = 16........ solve this step by step. plz...

I would look in the book but its a worksheet and i don't know what lesson it is.

x/2 + 5x/6 = 16

3x/6 + 5x/6 = 16

(3x + 5x)/6 = 16

8x/6 = 16

8x = 96

x = 12

1- Multiply the left and the right parts of the equation by 6
like this
6*(x/2+5x/6)=6*16 you still have the same equation
6x/2+6*5x/6=6*16 the same equation
so
3x + 5x=6*16
8x=6*16
now divide the right part by 8
x=6*16/8=12 this is the value of the unknown x if y want to be sure it is correct answer then substitute x by the value you got (12)
12/2 +5*12/6 = 6+10=16 the right part
Good luck

Your equation can be rewritten as:
(1/2)x + (5/6)x = 16

Whenever you see a fraction, your first instinct should be to give them a common denominator. (1/2) can be converted to (3/6):
(3/6)x + (5/6)x = 16

Add like terms:
(8/6)x = 16

Simplify the fraction:
(4/3)x = 16

Solve for x:
x = 12

3x/6+5x/6=16
8x=16*6
x=96/8
x=12

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