Solve for x in the equation 102.5(x−11.92)=71.6 . Round your answer to 3 decimal places

12.618
12.619
0.699
−11.221

1 answer

To solve for x, let's begin by distributing 102.5 on the left side of the equation:

102.5(x - 11.92) = 71.6
102.5x - 102.5 * 11.92 = 71.6
102.5x - 1222.1 = 71.6

Next, let's isolate the variable term by adding 1222.1 to both sides of the equation:

102.5x - 1222.1 + 1222.1 = 71.6 + 1222.1
102.5x = 1293.7

Finally, we can solve for x by dividing both sides of the equation by 102.5:

x = 1293.7 / 102.5

x ≈ 12.618