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{{ printedBook.courseTrack.name }} {{ printedBook.name }} When solving an equation graphically, the first step is to rearrange the equation so that the absolute value term is isolated. $-2∣x+5∣+4=2⇔∣x+5∣=1 $ The left-hand side of the equation can now be expressed as the absolute value function $f(x)=∣x+5∣.$ We'll draw its graph.

The solutions to the equation are the $x-$coordinates of the points on the graph that have $y-$coordinate $1.$

The solutions of the equation are $x=-6$ and $x=-4.$ We can verify them by substituting in the given equation. We'll start with $x=-6.$$-2∣x+5∣+4=2$

Substitute$x=-6$

$-2∣-6+5∣+4=?2$

Simplify left-hand side

\AddTerm

$-2∣-1∣+4=?2$

AbsNeg$∣-1∣=1$

$-2(1)+4=?2$

IdPropMultIdentity Property of Multiplication

$-2+4=?2$

AddTermsAdd terms

$2=2✓$