x/10 - 5 = 2/5Algebra I
12 Answers | Add Yours
cburr | Middle School Teacher | (Level 2) Associate Educator
The way to solve this problem is to isolate the X on one side of the equation.
The first step is to add 5 to both sides.
x/10 - 5 + 5 = 2/5 + 5
x/10 = 5 2/5
The next step will involve multiplying both sides by 10. First, it would be helpful to deal with the mixed number 5 2/5. You could change it to an improper fraction, but I think it's even easier to change it to a decimal: 5.4
x/10 x 10 = 5.4 x 10
x = 54
Jyotsana | Student, Grade 10 | (Level 1) Valedictorian
x/10-5=2/5
x/10-5+5=2/5+5
x/10=27/5
x/10*10=27/5*10
x=54
kittycatdoll | Student, Undergraduate | eNotes Newbie
x=54
jovona | (Level 1) Salutatorian
One way to approach this problem is -
1st: Get the x on one side of the equation by itself. Do this by adding 5 to each side of the equation.
x/10 -5 +5 = 2/5 +5
x/10 = 2/5 +5
2nd: The next step to getting the x by itself is to multiply both sides of the equation by 10.
(x/10)(10) = (2/5)(10) + (5)(10)
x = 20/5 + 50
x = 4 + 50
x = 54
cheezehustla | Student, Undergraduate | eNotes Newbie
x=54
malkaam | Student, Undergraduate | (Level 1) Valedictorian
x/10 - 5 = 2/5
In order to find the value of x we need to isolate it from the other known numbers,
x/10 -5+5= 2/5 +5 (adding 5 on both sides)
x/10 = 2/5+25/5
(in order to add both we need to find a common denominator i.e. 5 for that we need to multiply 5 by 5 and 1 by 5)
x/10=27/5
x/10*10=27/5*10 (multiplying both sides by 10)
x=5.4*10
x=54 Answer.
ik9744 | Student, Grade 9 | (Level 1) Valedictorian
x/10 - 5 = 2/5
x/10 = 5 2/5
x/10 = 5.4
5.4x = 10
x = 54
zumba96 | Student, Grade 11 | (Level 3) Valedictorian
You have to isolate the variable
x/10 - 5 = 2/5
Move 5 to the other side
x/10=2/5+5
x/10=5 2/5
x/10=27/5
Then cross multiply
270/5=x
x=54
nisarg | Student, Grade 11 | (Level 1) Valedictorian
x/10 - 5 = 2/5
`x/10=27/5`
`5x=270`
`x=54`
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jess1999 | Student, Grade 9 | (Level 1) Valedictorian
x/10 - 5 = 2/5
To solve this equation add five on both sides.
By adding five on both sides, your equation will look like
x/10 = 27/5 now multiply 10 on both sides
By multiplying 10 on both sides your equation will look like
X = 270/5 now simplify
By simplifying you will get
x = 54 which is your answer
atyourservice | Student, Grade 11 | (Level 3) Valedictorian
x/10 - 5 = 2/5
+5 +5
x/10 = 5 2/5
2/5 = .4
x/10= 5.4
`10xx(x/10) =5.4 xx 10 `
x=54
Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian
x/10 - 5 = 2/5
x/10 = (2/5) + 5
x = 10( (2/5) + 5 )
x = 54