# How do you solve -3( 5p + 3) - 2( 3- 14p ) = 3( 5+ 4p )?

Mar 10, 2018

$p = 30$

#### Explanation:

$- 3 \left(5 p + 3\right) - 2 \left(3 - 14 p\right) = 3 \left(5 + 4 p\right)$

Solving braces on both sides

$- 15 p - 9 - 6 + 28 p = 15 + 12 p$

$- 15 p + 28 p - 12 p = 15 + 9 + 6$

$28 p - 27 p = 30$

$p = 30$

Mar 10, 2018

$p = 30$

#### Explanation:

$- 3 \left(5 p + 3\right) - 2 \left(3 - 14 p\right) = 3 \left(5 + 4 p\right)$

Distribute

$\left(- 3\right) \left(5 p\right) + \left(- 3\right) \left(3\right) + \left(- 2\right) \left(3\right) + \left(- 2\right) \left(- 14 p\right) = \left(3\right) \left(5\right) = \left(3\right) \left(4 p\right)$

$- 15 p - 9 - 6 + 28 p = 15 + 12 p$

$13 p - 15 = 15 + 12 p$

Add $15$ on both sides

$13 p - 15 + 15 = 15 + 12 p + 15$

$13 p = 12 p + 30$

Subtract $12 p$ on both sides

$13 p - 12 p = 12 p - 12 p + 30$

$p = 30$