## Algebra 1

$|4x-11|=13$ By the definition of an absolute value: $4x-11=13$ or $4x-11=-13\longrightarrow$ add 11 to each side $4x-11+11=13+11$ or $4x-11+11=-13+11\longrightarrow$ add $4x=24$ or $4x=-2\longrightarrow$ divide each side by 4 $4x\div4=24\div4$ or $4x\div4=-2\div4\longrightarrow$ divide $x=6$ or $x=-0.5$