504,665 views
37 votes
37 votes
22x+100=25x+70
Find the X

User Llekn
by
2.9k points

2 Answers

16 votes
16 votes

Answer:

X=10

Explanation:

Step 1: Subtract 100 from both sides of the equation.

Step 2: Simplify.

Step 3: Subtract 25x from both sides of the equation.

Step 4: Simplify.

Step 5: Divide both sides of the equation by the same term.

Step 6: Simplify.

X=10 :)

User Svbaker
by
3.1k points
21 votes
21 votes

Answer:

  • x = 10

Explanation:

In this question we are given an equation that is 22x + 100 = 25x + 70. And we are asked to find the value of x .

Solution : -


\longmapsto \:22x + 100 = 25x + 70

Step 1 : Subtracting 100 from both sides :


\longmapsto \:22x + \cancel{100} - \cancel{100} = 25x + 70 - 100

On further calculations we get :


\longmapsto \: 22x = 25x - 30

Step 2 : Subtracting 25x from both sides :


\longmapsto \:22x - 25x = \cancel{ 25x} - \cancel{25x }- 30

On further calculations we get :


\longmapsto \: \cancel{- }3x = \cancel{ - }30

Step 3 : Dividing with 3 on both sides :


\longmapsto \: \frac{ \cancel{3}x}{ \cancel{3}} = \cancel{(30)/(3) }

On further calculations we get :


\longmapsto \: \purple{\boxed{ \frak{x = 10}}}

  • Henceforth , value of x is 10 .

Verifying : -

We're verifying our answer by substituting value of x in given equation . So ,

  • 22x + 100 = 25x + 70

  • 22 ( 10 ) + 100 = 25 ( 10 ) + 70

  • 220 + 100 = 250 + 70

  • 320 = 320

  • L.H.S = R.H.S

  • Hence, Verified.

Therefore, our value for x is correct .

#Keep Learning

User Cristiano
by
2.9k points