Answer:
Step-by-step explanation: To solve for x in the equation 5x - 17 = -4(x - 7), you can follow these steps:
Distribute the -4 on the right side of the equation by multiplying it with both terms inside the parentheses:
5x - 17 = -4x + 28
Now, let's isolate the variable x on one side of the equation. To do this, add 4x to both sides of the equation to move all x terms to the left side:
5x + 4x - 17 = -4x + 4x + 28
This simplifies to:
9x - 17 = 28
Next, add 17 to both sides of the equation to isolate the term with the variable:
9x - 17 + 17 = 28 + 17
This simplifies to:
9x = 45
Finally, divide both sides by 9 to solve for x:
9x / 9 = 45 / 9
x = 5
So, the solution to the equation 5x - 17 = -4(x - 7) is x = 5.