Question

The absolute value of x-2 = 2x+10
Solve for x

Answer 1

X-2=2x+10 +2 to both sides You'll get x=2x+12 Subtract 2x from both sides You'll get -2x=12 Divide by -2 on both sides You'll get -6 And the absolute value of -6 is 6

Answer 2

Let's solve your equation step-by-step
x-2= 2x + 10
Step 1: Subtract 2x from both sides
x - 2 - 2x = 2x + 10 - 2x
-x - 2 = 10
Step 2: Add 2 to both sides
-x - 2 + 2 = 10 + 2
-x=12
Step 3: Divide both steps by -1
-x/-1 = 12/-1
x=-12.
Final answer: x = -12