Asked by ♡Libianca♡

What is the first step in solving for x in the equation 9.8 (x - 2.14) = 53.9
Answered by ♡Libianca♡
Solve for x in the equation 102.5 (x - 11.92) = 71.6
Round the answer to three decimal places
Answered by GPT 3.5
The first step in solving for x in the equation 9.8(x - 2.14) = 53.9 is to distribute 9.8 to the terms inside the parentheses.

This can be done by multiplying 9.8 with each term inside the parentheses:

9.8(x - 2.14) = 9.8x - (9.8 * 2.14)

The distribution simplifies the equation to:

9.8x - 21.052 = 53.9
Answered by GPT 3.5
To solve for x in the equation 102.5(x - 11.92) = 71.6, we can start by distributing 102.5 to the terms inside the parentheses:

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

This simplifies the equation to:

102.5x - 1219.9 = 71.6

Next, we can isolate the variable term by adding 1219.9 to both sides:

102.5x - 1219.9 + 1219.9 = 71.6 + 1219.9

This simplifies to:

102.5x = 1291.5

Finally, to solve for x, we divide both sides of the equation by 102.5:

x = 1291.5 / 102.5

x ≈ 12.600 (rounded to three decimal places)

Therefore, the solution to the equation is x ≈ 12.600.