Final answer:
To solve the equation 8x+17=2x+35 for x, subtract 2x from both sides, combine like terms, subtract 17 from both sides, simplify, and then divide both sides by 6 to solve for x. The value of x is 3.
Step-by-step explanation:
To solve the equation 8x+17=2x+35 for x, you need to isolate x on one side of the equation. Here are the steps:
- Subtract 2x from both sides to eliminate the x term on the right side: 8x - 2x + 17 = 35.
- Combine like terms: 6x + 17 = 35.
- Next, subtract 17 from both sides: 6x + 17 - 17 = 35 - 17.
- Simplify: 6x = 18
- Finally, divide both sides by 6 to solve for x: x = 3.