find the value of x in the equation 2(x-3)+5=(2x+6)

pete traveled 1,380 miles in two day. the first day, he traveled 1.5 times as far as he did the second day. how far did he drive on the first day?

2(x-3)+5=(2x+6)

2x - 6 + 5 = 2x + 6
-1 = 6
which is a false statement, so your equation has no solution.

Use a new posting for each question.

"pete traveled 1,380 miles in two day. the first day, he traveled 1.5 times as far as he did the second day. how far did he drive on the first day?"

let the distance traveled on the second day be x miles
then the distance he went the first day is 1.5x miles

so 1.5x + x = 1380
2.5x = 1380
x = 1380/2.5 = 552

Can you take it from there?

To find the value of x in the equation 2(x-3) + 5 = (2x + 6), follow these steps:

Step 1: Distribute the 2 to the terms inside the parentheses:

2(x - 3) + 5 = 2x + 6
2x - 6 + 5 = 2x + 6 (Multiply 2 with x and -3 to get 2x - 6)

Step 2: Combine like terms on both sides of the equation:

2x - 1 = 2x + 6

Step 3: Subtract 2x from both sides of the equation to bring all the x terms to one side:

2x - 2x - 1 = 2x - 2x + 6
-1 = 6

Step 4: Since -1 does not equal 6, this means that there is no solution to the equation. In other words, the value of x that satisfies the equation does not exist.