Question

Find the value of x that makes each equation true.

1. 3x-10=2
2. 8x-10=x+11
3. 5x-7=7x-17
4. 3x+9=44-2x
5. 3x+6=x+2

Answer 1

`1.\\\\ 3x-10=2\\3x=2+10\\3x=12\ \ /:3\\ x=(12)/(3)\\x=4\\\\2.\\\\ 8x-10=x+11\\8x-x=11+10\\7x=21\ \ /:7\\x=(21)/(7)\\x=7`


`3.\\\\ 5x-7=7x-17\\5x-7x=-17+7\\-2x=-10\ \ /:(-2)\\x= (-10)/(-2)\\x=5`


`4.\\\\ 3x+9=44-2x\\3x+2x=44-9\\5x=35\ \ /:5\\x=(35)/(7)\\x=5\\\\5. \\\\3x+6=x+2\\3x-x=2-6\\2x=-4\ \ /:2\\x=-(4)/(2)\\x=-2`