# How do you solve for p in 27-3p+45=8p-17?

Jul 1, 2016

$p = \frac{11}{89}$ or $p \approx 0.124$

#### Explanation:

Given equation:

$27 - 3 - + 45 = 8 p - 17$

Combine like terms:

$- 3 p + 72 = 8 p - 17$

Get the variable terms to one side by adding $17$ to $72$ and adding $- 3 p$ to $8 p$:

$89 = 11 p$

Isolate the variable by dividing out 11 from both sides:

$p = \frac{11}{89}$

Final answer as fraction and decimal:

$p = \frac{11}{89}$ or $p \approx 0.124$