Algebra
# Absolute Value

What is the sum of all values of $x$ that satisfy $\lvert{x-2}\rvert=10?$

Find the sum of all the integer values of $x$ that satisfy $|x-49|+|x-50|=7?$

What is the value of $x$ that satisfies $2x^2+5 \lvert{x}\rvert+3=0 ?$

What is the value of $x$ that satisfies the equation $\lvert{x-11}\rvert=\lvert{25-x}\rvert?$