Solve for x in the equation 102.5 (x- 11.92)=71.6 round your answer to 3 decimal places

To solve for x, let's start by distributing 102.5 to the terms inside the parentheses:

102.5x - 102.5 * 11.92 = 71.6

Simplifying further:

102.5x - 1219.4 = 71.6

Next, let's isolate the variable term by adding 1219.4 to both sides:

102.5x = 71.6 + 1219.4

102.5x = 1291

To solve for x, divide both sides by 102.5:

x = 1291/102.5

After performing the division, we find:

x ≈ 12.59

Therefore, the value of x rounded to 3 decimal places is 12.59.