Question 54439
We need to get x all by itself on one side of the = sign within the rules of algebra.  Whatever you do to one side of the equal sign, you have to do to the other.
9x+14=41  (14 doesn't have an x, so we need to move it.  It's being added, so subtract it from both sides of the equal sign.)
9x+14-14=41-14
9x+0=27
9x=27   (x is being multiplied by 9, so we divide 9 on both sides.
9x/9=27/9
1x=3
{{{highlight(x=3)}}}
Check by substituting x=3 back into the original equation to see if both sides equal.
9(3)+14=41
27+14=41
41=41 We're right!!!!
:
3x-4=11  (4 doesn't have an x so we add it to both sides of the equal sign.)
3x-4+4=11+4
3x+0=15
3x=15  (x is being multiplied by 3, so divide both sides of the equation by 3.)
3x/3=15/3
1x=5
{{{highlight(x=5)}}}
Check you answer by substituting x=5 into the original equation and see if both sides equal.
3(5)-4=11
15-4=11
11=11  Right again!!!
Happy Calculating!!!