How do you solve #10+ 5x = 110#?

4 Answers
Mar 13, 2018

#10+5x=110#
#5x+10-10=110-10#
#5x=100#
#(5x)/5=100/5#
#x=20#

Mar 13, 2018

#x=20#

Explanation:

First subtract 10 from both sides.
#5x=100#
Then, divide both sides by 5
#x=20#

Mar 13, 2018

The trick is to get x by itself by moving the other numbers around... That way you find that x=20.

Explanation:

In order to get our solution, we will work this in two steps:

  1. Move all terms, other than x and its coefficient, to the right-hand side
  2. Divide both sides by x's coefficient to get x alone

Step 1:
For this, we will subtract 10 from both sides. This will remove the 10 from the left hand side, and remove the same amount from the right hand side.

#cancel(10)+5x-cancel(10)=110-10 rArr 5x=100#

Step 2:
Now that we've moved everything else to the right hand side, we can divide both sides by x's coefficient. In this case, we will divide by 5:

#(cancel(5)x)/cancel(5)=100/5 rArr x=100/5#

Now we solve the division and get our answer:
#x=100/5 rArr color(red)(x=20)#

Mar 13, 2018

#x = 20#

Explanation:

Isolate the #x# term to one side so that we can solve for it:

Subtract 10 from both sides:
#10+5x=110#
#color(blue)"-10 " " " " "# #color(blue)"-10"#
#------#
#5x = 100#

Now divide by #5# to isolate #x# by itself:
#(cancel5x)/cancel5 = 100/5#
#x = 20#