x-4=2-x
x=3
x - 4 = 2 - x
+ x + 4 +4 + x
____________________________
2x = 6
2x/2 = 6/2
x = 3
To solve the equation x - 4 = 2 - x, we want to isolate the variable x on one side of the equation. Here are the steps to solve it:
Step 1: Distribute the negative sign on the right side of the equation.
x - 4 = 2 + (-x)
Step 2: Combine like terms on the right side of the equation.
x - 4 = 2 - x
Step 3: Add x to both sides of the equation to eliminate the -x term on the right side.
x + x - 4 = 2 - x + x
Simplified: 2x - 4 = 2
Step 4: Add 4 to both sides of the equation to isolate the variable x.
2x - 4 + 4 = 2 + 4
Simplified: 2x = 6
Step 5: Divide both sides of the equation by 2 to solve for x.
(2x)/2 = 6/2
Simplified: x = 3
So, the solution to the equation x - 4 = 2 - x is x = 3.