#### Answer

-$2x^{2}$-9

#### Work Step by Step

2($3x^{2}$ -5) - [4($2x^{2}$ - 1) + 3]
Step 1: Drop parentheses and multiply 2 and 4with each term and change the sign of each term in parentheses: 2($3x^{2}$ -5) = $6x^{2}$ -10 and 4($2x^{2}$ - 1) = $8x^{2}$ - 4
Step 2 Simplify inside brackets: -4+3 = -1
$6x^{2}$ -10- [$8x^{2}$ - 1]
Step 3 drop brackets and change the sign of each term in brackets
$6x^{2}$ -10- $8x^{2}$ +1
Step 4: Group like terms($6x^{2}$ -$8x^{2}$ ) - 10+1
Step 6: Combine the like terms
($6x^{2}$ -$8x^{2}$ )= -$2x^{2}$
So, final solution -$2x^{2}$-9