## Intermediate Algebra (12th Edition)

$x=5$
$\bf{\text{Solution Outline:}}$ To solve the given equation, $0.08x+0.06(x+9)=1.24 ,$ use the Distributive Property. Then use the properties of equality to combine like terms and to isolate the variable. $\bf{\text{Solution Details:}}$ Using the Distributive Property which is given by $a(b+c)=ab+ac,$ the equation above is equivalent to \begin{array}{l}\require{cancel} 0.08x+0.06(x)+0.06(9)=1.24 \\\\ 0.08x+0.06x+0.54=1.24 .\end{array} Using the properties of equality to combine like terms and to isolate the variable results to \begin{array}{l}\require{cancel} 100(0.08x+0.06x+0.54)=100(1.24) \\\\ 8x+6x+54=124 \\\\ 8x+6x=124-54 \\\\ 14x=70 \\\\ x=\dfrac{70}{14} \\\\ x=5 .\end{array}