2. (3x+1)+5cdot (x-2)= 8 . (6x-2)-3cdot (2x-1)= (2x+5)cdot 6+8cdot (6x-1)=

Let's solve each expression step by step:<br /><br />1. $(3x+1)+5\cdot (x-2)$<br /><br />First, distribute the 5 in the second term:<br />$(3x+1) + 5x - 10$<br /><br />Next, combine like terms:<br />$3x + 5x + 1 - 10$<br /><br />Simplify:<br />$8x - 9$<br /><br />So, the correct answer is $8x - 9$.<br /><br />2. $(6x-2)-3\cdot (2x-1)$<br /><br />First, distribute the -3 in the second term:<br />$(6x-2) - 6x + 3$<br /><br />Next, combine like terms:<br />$6x - 6x - 2 + 3$<br /><br />Simplify:<br />$-2 + 3$<br /><br />So, the correct answer is $1$.<br /><br />3. $(2x+5)\cdot 6+8\cdot (6x-1)$<br /><br />First, distribute the 6 in the first term and the 8 in the second term:<br />$12x + 30 + 48x - 8$<br /><br />Next, combine like terms:<br />$12x + 48x + 30 - 8$<br /><br />Simplify:<br />$60x + 22$<br /><br />So, the correct answer is $60x + 22$.