SOLUTION: I need to solve for x on the following equations. I honestly don't know what to do.
1).2x+4=28
2).17x-42=-39
3).7x-2=5x+10
4).3x-1-x=3x+5
5).-4(x+7)=-16
6).5(x+3)=7(x-5)
I
Question 533695: I need to solve for x on the following equations. I honestly don't know what to do.
1).2x+4=28
2).17x-42=-39
3).7x-2=5x+10
4).3x-1-x=3x+5
5).-4(x+7)=-16
6).5(x+3)=7(x-5)
If youcould show the work on these, I might understand a lot better how to do it. Thank you.
Algebra is a scale. The goal is isolate the variable. Whatever you do to one side, do to the other side.
1. 2x + 4 = 28
First isolate the term containing x (2x) so subtract 4 from both sides.
2x + 4 - 4 = 28 - 4 --> 2x = 24
Now isolate x. Since it is multiplied by 2, divide by 2 so x is isolated.
(2x)/2 = 24/2 --> x = 12
17x - 42 = -39 Add 42 to both sides. 17x -42 +42 = -39 +42 --> 17x = 3
Divide both sides by 17.
(17x)/17 = 3/17 --> x=3/17
7x-2=5x+10 Get x terms on one side, so subtract 5x from both sides
7x-2-5x=5x-5x+10 --> 2x-2=10 Add 2 to both sides.
2x=12 divide both sides by 2
x=6
3x-1-x=3x+5 combine all the terms on each side (3x - x = 2x)
2x-1=3x+5 get the x's on one side, so subtract 3x from both sides
2x-3x-1=3x-3x+5 --> -x-1=5 add 1 to both sides -x-1+1=5+1 --> -x=6
Divide both sides by -1 (so we have x instead of -x)
-x/-1 = 6/-1 --> x=-6
-4(x+7)=-16 multiply -4 by each term inside the () (distribute it):
-4*x + -4*7 = -16 --> -4x -28 =-16 add 28 to both sides
-4x-28+28=-16+28 --> -4x=12 divide both sides by -4
(-4x)/-4 = 12/-4 --> x = -3
.5(x+3)=7(x-5) Distribute the numbers (multiply them by each term in the ())
.5*x +.5*3 = 7*x - 7*5 --> .5x+1.5=7x-35 subtract 7x from both sides, subtract 1.5 from both sides.
.5x + 1.5 - 1.5 -7x = 7x - 7x - 1.5 -35 --> -6.5x = -36.5 divide both sides by -6.5
(-6.5x)/-6.5 = -36.5/-6.5 --> x = 5.6153846...
x is approximately 5.6