Question

Solve the linear equation. 2(x 6) 6 = 3(x 5) 7

a. {6}
b. {-4}
c. {12}
d. {9}

Answer 1

2(x+6)+6 = 3(x+5)+7
2(6=x)+6 =3(5+x)+7
(6*2+x*2)+6 = (3*x+x*3)
(12+2x)+ 6 = (3*x+5)+7
12+6+2x= 3(x+5)+7
12+6-18
18+2x = 3(x+5)+7
18+2x= 3x+15+7

18+2x=3x+22
-2x -2x
18=x+22
-22 -22
-4=x