Final answer:
To solve x + 10 = 2x + 8, subtract x from both sides and then subtract 8 to find x = 2. For -3 + 4 = 4x - 17, combine -3 and 4, add 17 to both sides, and then divide by 4 to get x = 4.5.
Step-by-step explanation:
To solve the equations x + 10 = 2x + 8 and -3 + 4 = 4x - 17, we apply the principles of algebra. Let's tackle them one by one:
For the first equation, x + 10 = 2x + 8, you want to get all the x terms on one side and the constants on the other. Start by subtracting x from both sides to get 10 = x + 8. Then, subtract 8 from both sides to find x = 2.
In the second equation, -3 + 4 = 4x - 17, we first add the numbers on the left side, which gives us 1 = 4x - 17. Then, you add 17 to both sides to isolate the x-term, resulting in 18 = 4x. Finally, divide both sides by 4 to find x = 4.5.
Remember to always perform the same operation on both sides of the equation to maintain balance.