what is the solution of the equation 5/3-2x=1/6 (1 point)

5 answers

To solve the equation 5/3 - 2x = 1/6, you need to isolate x on one side of the equation.

First, subtract 5/3 from both sides:

5/3 - 5/3 - 2x = 1/6 - 5/3

This simplifies to:

-2x = 1/6 - 5/3

Next, find a common denominator for 1/6 and 5/3, which is 6:

-2x = 1/6 - 10/6

Now, subtract 10/6 from 1/6:

-2x = (1 - 10)/6

This further simplifies to:

-2x = -9/6

Finally, divide both sides by -2 to solve for x:

-2x / -2 = (-9/6) / -2

x = 9/12

Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 9/12.
no thats not right the answers are -11/3 -11/12 3/4 3 it has to be one of those answers now can you do it again please
Apologies for the incorrect response. Let's solve the equation correctly.

Given: 5/3 - 2x = 1/6

To solve this equation, we'll follow these steps:

1. Get rid of the fractions by multiplying every term by the least common multiple (LCM) of the denominators, which is 6.

6 * (5/3) - 6 * (2x) = 6 * (1/6)

This simplifies to:

10 - 12x = 1

2. Now, let's isolate the term with x by moving the constant term to the other side of the equation.

-12x = 1 - 10

Simplifying further:

-12x = -9

3. To solve for x, divide both sides of the equation by -12:

x = (-9) / (-12)

This simplifies to:

x = 3/4

Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4.
what is the solution of the equation 0.2x-2.15=-8.27? (1 point)
To solve the equation 0.2x - 2.15 = -8.27, you need to isolate x on one side of the equation.

First, add 2.15 to both sides:

0.2x - 2.15 + 2.15 = -8.27 + 2.15

This simplifies to:

0.2x = -6.12

Next, divide both sides by 0.2 to solve for x:

(0.2x) / 0.2 = -6.12 / 0.2

x = -30.6

Therefore, the solution to the equation 0.2x - 2.15 = -8.27 is x = -30.6.