# How do you solve -3[ 2a + 3( 5- 2a ) ] = a - [ 6- 4a ]?

May 15, 2017

$\frac{39}{7}$

#### Explanation:

QUESTION : $- 3 \left[2 a + 3 \left(5 - 2 a\right)\right] = a - \left[6 - 4 a\right]$

So

$- 3 \left[2 a + 15 - 6 a\right] = a - \left[6 - 4 a\right]$

Expanding inside the bracket on LHS,

$- 3 \left[15 - 4 a\right] = a - \left[6 - 4 a\right]$

Expanding inside the bracket on LHS,

$- 45 + 12 a = a - 6 + 4 a$

Simplifying on RHS

$- 45 + 12 a = 5 a - 6$

$- 45 + 6 = 5 a - 12 a$

Seperating numbers and variables,

$- 39 = - 7 a$

$a = \frac{- 39}{-} 7$

$a = \frac{39}{7}$