Solve for X: 4x - 2 +7 = 17

collect like terms on left hand side
4x + 5 = 17
subtract 5 from each side
4x = 12
divide by 4 on each side
x = 3

To solve for x in the equation 4x - 2 + 7 = 17, we need to isolate the variable x on one side of the equation.

Step 1: Collect like terms on the left-hand side.
Combine the terms 4x and 7 on the left-hand side:
4x - 2 + 7 = 17
4x + 5 = 17

Step 2: Subtract 5 from each side.
We want to isolate 4x, so we need to get rid of the +5 on the left-hand side. To do that, we subtract 5 from both sides:
4x + 5 - 5 = 17 - 5
4x = 12

Step 3: Divide by 4 on each side.
To solve for x, we divide both sides of the equation by 4:
4x/4 = 12/4
x = 3

Therefore, the solution to the equation is x = 3.