Let n = the unknown number.
"less than" tells you subtract.
"three times" tells you multiply the number by 3.
3n + 5 = 10
Add 5 from both sides to get the variable on one side and the constant on the other.
3n = 10 + 5
3n = 15
Divide both sides by 3 to isolate the variable:
n = 5
Let us say the number is x.
Now let us make an expression for it.
Step 1:
three times the number means multiply x by 3 so 3x.
Step 2:
5 less than three times the number
so subtracting 5 from 3x we have 3x-5
Step 3:
Making equation, "is" stands for equal to 10 here, so we have
[tex] 3x-5=10 [/tex]
Step 4:
Now solving the equation
Since 5 is in subtraction on left so adding it on right side
[tex] 3x-5=10 [/tex]
[tex] 3x=15 [/tex]
dividing both sides by 3
[tex] x=\frac{15}{3}=5 [/tex]
