Answer :
Answer:
X=10
Step-by-step 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 :)
Answer:
- x = 10
Step-by-step 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 : -
[tex] \longmapsto \:22x + 100 = 25x + 70 [/tex]
Step 1 : Subtracting 100 from both sides :
[tex] \longmapsto \:22x + \cancel{100} - \cancel{100} = 25x + 70 - 100[/tex]
On further calculations we get :
[tex] \longmapsto \: 22x = 25x - 30[/tex]
Step 2 : Subtracting 25x from both sides :
[tex] \longmapsto \:22x - 25x = \cancel{ 25x} - \cancel{25x }- 30[/tex]
On further calculations we get :
[tex] \longmapsto \: \cancel{- }3x = \cancel{ - }30[/tex]
Step 3 : Dividing with 3 on both sides :
[tex] \longmapsto \: \frac{ \cancel{3}x}{ \cancel{3}} = \cancel{\frac{30}{3} }[/tex]
On further calculations we get :
[tex] \longmapsto \: \purple{\boxed{ \frak{x = 10}}}[/tex]
- 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 .