To solve the equation, you will need to isolate the variable x.
First, you can begin by distributing 3/4 to the terms inside the parentheses:
(3/4) * (x - 8) = -1/2
This simplifies to:
(3/4) * x - (3/4) * 8 = -1/2
Next, multiply 3/4 by x and -8 separately:
(3/4) * x - 6 = -1/2
To get rid of the fraction, you can multiply the entire equation by 4:
4 * ((3/4) * x - 6) = 4 * (-1/2)
The left side of the equation cancels out the denominators:
3x - 24 = -2
Now, you can isolate the x term by adding 24 to both sides:
3x - 24 + 24 = -2 + 24
This simplifies to:
3x = 22
Finally, divide both sides of the equation by 3 to solve for x:
3x/3 = 22/3
x = 22/3
Therefore, the solution to the equation is x = 22/3.
Solve.
3/4(x−8)=−1/2
1 answer