$\left( 2\left( 17x-5 \right) \right)+\left( -10x+8 \right)$
Factor out $-2$ from the expression$\left( 2\left( 17x-5 \right) \right)+\left( -2\left( 5x-4 \right) \right)$
Remove unnecessary parentheses$2\left( 17x-5 \right)-2\left( 5x-4 \right)$
Factor out $2$ from the expression$2\left( 17x-5-\left( 5x-4 \right) \right)$
When there is a $-$ in front of an expression in parentheses, change the sign of each term of the expression and remove the parentheses$2\left( 17x-5-5x+4 \right)$
Collect like terms$2\left( 12x-5+4 \right)$
Calculate the sum$2\left( 12x-1 \right)$