What is the value of x for the equation x+2/4 + 1/3 = 2x-1/6

The answer to your question is x = 1

Step-by-step explanation:

Data

Equation x + 2/4 + 1/3 = 2x - 1/6

-Subtract 2x in both sides x + 2/4 + 1/3 - 2x = 2x - 2x - 1/6

-Simplify - x + 2/4 + 1/3 = - 1/6

-Subtract 2/4 and 1/3 in both sides - x + 2/4 - 2/4 + 1/3 - 1/3 = - 1/6 - 2/4 - 1/3

-Simplify - x = - 1/6 - 2/4 - 1/3

-x = (-2 - 6 - 4) / 12

-x = - 12/12

-x = - 1

-Result x = 1

1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+24+13=2x-16

x + 1 2 + 1 3 = 2x + - 1 6

(x) + (1 2 + 1 3) = 2x + - 1 6 (Combine Like Terms)

x + 5 6 = 2x + - 1 6

x + 5 6 = 2x + - 1 6

Step 2: Subtract 2x from both sides.

x + 5 6 - 2x=2x + - 1 6 - 2x

-x + 5 6 = - 1 6

Step 3: Subtract 5/6 from both sides.

-x + 5 6 - 5 6 = - 1 6 - 5 6

-x=-1

Step 4: Divide both sides by - 1.

-x - 1 = - 1 - 1

x=1