Question

What is the solution to 2(6x + 1) - 3x = 10 - (x - 2)?

Answer 1

x=1

Step-by-step explanation: first distribute 2 to (6x + 1) and get 12x +2 then subtract that by 3x and get 9x +1 , next distribute -1 to (x -2) and you will get -x and 2 ( a negative times a negative equals a positive). Then add 2 (on the side of with the -x) to 10 and get 12. Add -x to the other side (so to the 9x) and get 10x. 10x +2-2 = 12-2 Then subtract 2 by 12 and you get 10. Divide both sides by 10 10x/10 = 10/10 x=1.

Check answer

Plug 1 in as all x's. 2(6(1) + 1) - 3(1) = 10 - (1-2). First add (6 + 1) and get (7) then mutiply that by 2 and get 14. Then subtract 14 by 3 and get 11. 11 = 10 -(1-2). Now subtract (1-2) and get -1. 11 = 10 -(-1). distribute the -1 and get one. add 10 +1 and get 11=11 answer is correct

Answer 2

x = 1

Explanation:

2(6x + 1) - 3x = 10 - (x - 2) distribute terms through parentheses

12x + 2 - 3x = 10 - x + 2 combine like terms

12x - 3x + x = 10 + 2 - 2

10x = 10 divide

x = 1