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

Solve for x

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

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