If I have an equation like this and Im trying to solve for X
|x| + 4|x| = 40
Can I take the absolute Value (Modulus) as a common factor?
|x + 4x| = 40
and the proceed to solve for X?
2026-04-04 17:25:38.1775323538
Taking "Absolute Value Operator" as a common factor?
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In general $|a|+|b|\ne|a+b|$
See here, for the general relation
We can write $$|x|(1+4)=40\implies 5|x|=40$$
Things become more clear if we substitute $|x|$ with $y$