Question

-5x+15/6=10
Solve the following two-step linear equation

Answer 1

To solve the equation -5x + 15/6 = 10, we need to isolate the variable x.

First, we can start by subtracting 15/6 from both sides to get rid of the constant term on the left side:

-5x + 15/6 - 15/6 = 10 - 15/6

Simplifying both sides:

-5x = 10 - 15/6

Next, we can simplify the right side by finding a common denominator for 10 and 15/6, which is 6:

-5x = (10 * 6 - 15)/6
-5x = (60 - 15)/6
-5x = 45/6

Then, we can simplify the right side fraction:

-5x = 45/6
-5x = 7.5

Finally, to solve for x, we divide both sides by -5:

-5x/(-5) = 7.5/(-5)

Simplifying:

x = -7.5/5

The solution to the equation -5x + 15/6 = 10 is x = -7.5/5.