Question

Solve the equation: -2x + 1/3 = x/5 + 1

a) x = -3/7
b) x = -1/7
c) x = 3/7
d) x = 1/7

Answer 1

To solve the equation, we combine like terms, find a common denominator, and isolate x by performing the necessary operations.

Step-by-step explanation:

To solve the equation -2x + 1/3 = x/5 + 1, we want to isolate the variable x. First, let's combine like terms by subtracting x/5 from both sides of the equation:

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

Now, let's find a common denominator and combine the fractions:

-10x/5 + 5/15 - 3x/15 = 1

-10x - 3x + 5 = 15

Next, let's combine like terms again:

-13x + 5 = 15

Now, let's subtract 5 from both sides:

-13x = 10

Finally, divide both sides by -13 to solve for x:

x = -10/13