16=1/2(7x-6)

1 answer

To solve the equation 16 = 1/2(7x-6), we need to isolate the variable x.

First, let's simplify the expression on the right side of the equation:
1/2(7x-6) = (7x-6)/2

Now, substitute this value into the equation:
16 = (7x-6)/2

To get rid of the fraction, we can multiply both sides of the equation by 2:
2 * 16 = 2 * (7x-6)/2
32 = 7x-6

Next, we can add 6 to both sides of the equation to isolate the term with x:
32 + 6 = 7x - 6 + 6
38 = 7x

Finally, to solve for x, divide both sides of the equation by 7:
38/7 = 7x/7
x = 38/7 or approximately x = 5.43