|10-2x|=18
14
How did you get the answer?
10-2x = 18 OR -10+2x = 18
-2x=8 OR 2x = 28
x=-4 OR x=14
To solve the equation |10-2x| = 18, you need to eliminate the absolute value first. Here's how to do it:
Step 1: Split the equation into two separate equations, one with a positive sign and one with a negative sign.
10-2x = 18 or -(10-2x) = 18
Step 2: Solve each equation separately.
For the first equation, 10-2x = 18:
Subtract 10 from both sides to isolate the -2x term:
-2x = 8
Divide both sides by -2 to solve for x:
x = -4
For the second equation, -(10-2x) = 18:
Distribute the negative sign to both terms inside the parentheses:
-10 + 2x = 18
Add 10 to both sides to isolate the 2x term:
2x = 28
Divide both sides by 2 to solve for x:
x = 14
So the solution to the equation |10-2x| = 18 is x = -4 or x = 14.