Solve for x

: 13x+26=3x−34
.(1 point)
Responses

x=−6
x equals negative 6

x=18
x equals 18

x=3
x equals 3

x=−9

1 answer

To solve for x in the equation 13x+26=3x34, follow these steps:

  1. Isolate the variable x: First, we can move all terms involving x to one side and constant terms to the other side.

    Subtract 3x from both sides: 13x3x+26=34 This simplifies to: 10x+26=34

  2. Continue isolating x: Now, subtract 26 from both sides: 10x=3426 Simplifying the right-hand side gives: 10x=60

  3. Solve for x: Finally, divide both sides by 10: x=6010 x=6

Thus, the solution is: 6

The correct responses are x=6 and x equals negative 6.