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

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