#### Answer

$x=5$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
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}