How do you solve this equation 1/3(x+1)+2x=2.

x = 5/7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/3 (x + 1) + 2x = 2

(1/3) (x) + (1/3) (1) + 2x = 2 (Distribute)

1/3x  + 1/3 + 2x = 2

(1/3x + 2x) + (1/3) = 2 (Combine Like Terms)

7/3x + 1/3 = 2

Step 2: Subtract 1/3 from both sides.

7/3x + 1/3 - 1/3 = 2 - 1/3

7/3x =  5/3

Step 3: Multiply both sides by 3/7.

(3/7) * (7/3x) = (3/7) * (5/3)

x = 5/7

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents