Question

Solve the absolute value equation.
|x – 2| -7 =-3

X=

Answer 1

Combine like terms and use the properties of equality to get the variable on the equal side and the numbers on the other side.

Remember to follow the order of operations.

$\bold{|x-2|-7=-3}$

Add 7 to both sides of the equation.

$\bold{x-2|=4}$

Use the definition of absolute value.

$\bold{x-2=4}\\\bold{x-2=-4}$

Add 2 to the two sides of the equation.

$\red{\boxed{\bold{\red{x=6}}}} \ \red{\Rightarrow} \ \red{\boxed{\bold{\red{Answer}}}}$

$\red{\boxed{\bold{\red{x=-2}}}} \ \red{\Rightarrow} \ \red{\boxed{\bold{\red{Answer}}}}$

The last two solutions are the answer to your question.