Solve Equations with Decimal Coefficients In the following exercises, solve the equation by clearing the...

Step 1
The given equation is ${\displaystyle 0.10d+0.25(d+5)=4.05}$
The equation ${\displaystyle 0.10d+0.25(d+5)=4.05}$ can be solved as follows.
Wemultiply the decimal number by 100 to shift the decimal towards right hand side by two place.
Step 2
For clearing the decimals we multiply each term by 100.
${\displaystyle \Rightarrow 100\times 0.10d+100\times 0.25(d+5)=100\times 4.05}$
${\displaystyle \Rightarrow 10d+25(d+5)=405}$
${\displaystyle \Rightarrow 10d+25d+125=405}$
Subtract 125 on sides.
${\displaystyle \Rightarrow 10d+25d+125-125=405-125}$
${\displaystyle \Rightarrow 35d=280}$
Divide both sides by 35.
${\displaystyle \Rightarrow \frac{35d}{35}=\frac{280}{35}}$
${\displaystyle \Rightarrow d=8}$
Therefore, ${\displaystyle d=8}$ is the solution of ${\displaystyle 0.10d+0.25(d+5)=4.05.}$