why would both x=x and 7=7 both be correct answers to this equation?
Hi PJ;
3x+7=5x+2(3-x)+1
Let's distribute 2(3-x)...
3x+7=5x+6-2x+1
Let's combine like terms...
3x+7=3x+7
Let's subtract 7 from both sides...
-7+3x+7=3x+7-7
3x=3x
Let's divide both sides by 3...
3x/3=3x/3
x=x
3x+7=3x+7
Let's subtract 3x from both sides...
-3x+3x+7=3x+7-3x
7=7