To solve: The linear equation 0.15p-2.5=5

Step 1
Express the decimal linear equation as an equivalent linear equation without decimals.
Multiply both sides of the equation by 100.
${\displaystyle 100(0.15p-2.5)=100\left(5\right)}$
Distribute 100 to the equation.
${\displaystyle 100\left(0.15p\right)-100\left(2.5\right)=100\left(5\right)}$
${\displaystyle 15p-250=500}$
Add 250 to both sides of the equation.
${\displaystyle 15p-250+250=500+250}$
${\displaystyle 15p+0=750}$
${\displaystyle 15p=750}$
Divide both sides of the equation by 15.
${\displaystyle \frac{15p}{15}=\frac{750}{15}}$
${\displaystyle p=50}$
Check the solution by substituting ${\displaystyle p=50}$ in the original equation.
${\displaystyle 0.15\left(50\right)-2.5{=}^{?}5}$
${\displaystyle 7.5-2.5{=}^{?}5}$
${\displaystyle 5=5}$ True
Since ${\displaystyle p=50}$ satisfies the original equation, the solution is 50.
Therefore, the solution set is ${\displaystyle \left\{50\right\}}$