x/8+1/6=-1/10
x/8=-8/30
30x=-64
x=-64/30=-32/15
multiply everything by 120
15 x + 20 = -12
15 x = -32
x = -32/15
To solve the equation (x/8) + (1/6) = (-1/10), you need to find the value of x that satisfies this equation. Here's how to do it:
Step 1: Find a common denominator for all the fractions in the equation. In this case, the common denominator is 120 because it is divisible by 8, 6, and 10.
Step 2: Multiply both sides of the equation by the common denominator (120) to eliminate the denominators. This will allow you to work with integers.
120 * (x/8) + 120 * (1/6) = 120 * (-1/10)
15x + 20 = -12
Step 3: Now, isolate the variable x.
Subtract 20 from both sides:
15x = -12 - 20
15x = -32
Step 4: Solve for x by dividing both sides of the equation by 15:
x = -32/15
So, the solution to the equation (x/8) + (1/6) = (-1/10) is x = -32/15.