Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Answer:
- [tex]\Large\boxed{\sf{x=2}}[/tex]
Step-by-step explanation:
GIVEN:
In order to solve this, you need to isolate the term x on one side of the equation.
8x+21+16x=25x+19
First, combine like terms.
[tex]\Longrightarrow: \sf{8x+16x+21=25x+19}[/tex]
Solve.
8x+16x=24x
[tex]\Longrightarrow: \sf{24x+21=25x+19}[/tex]
You have to subtract by 21 from both sides.
[tex]\Longrightarrow: \sf{24x+21-21=25x+19-21}[/tex]
Solve.
[tex]\Longrightarrow: \sf{24x=25x-2}[/tex]
Subtract by 25x from both sides.
[tex]\Longrightarrow: \sf{24x-25x=25x-2-25x}[/tex]
Solve.
-x=-2
Then, you divide by -1 from both sides.
[tex]\Longrightarrow: \sf{\dfrac{-x}{-1}=\dfrac{-2}{-1}}[/tex]
Solve.
Divide the numbers from left to right.
[tex]\sf{\dfrac{-2}{-1}=2 }[/tex]
SOLUTIONS:
[tex]\Longrightarrow: \boxed{\sf{x=2}}[/tex]
- Therefore, the correct answer is x=2.
I hope this helps. Let me know if you have any questions.
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Given equation:
- [tex]8x + 21 + 16x = 25x + 19[/tex]
Combine like terms on the L.H.S and simplify the expression as needed.
- ⇒ [tex]8x + 21 + 16x = 25x + 19[/tex]
- ⇒ [tex]x(8 + 16) + 21 = 25x + 19[/tex]
- ⇒ [tex]x(24) + 21 = 25x + 19[/tex]
- ⇒ [tex]24x + 21 = 25x + 19[/tex]
Now, rewrite 25x in such a way such that 24x can be repeated on both sides. Clearly, we can rewrite 25x as 24x + x. Then,
- ⇒ [tex]24x + 21 = \underline{25x} + 19[/tex]
- ⇒ [tex]24x + 21 = \underline{24x + x} + 19[/tex]
Since 24x is being repeated on both sides, we can cancel it.
- ⇒ [tex]\bold{24x} + 21 = \bold{24x} + x + 19[/tex]
- ⇒ [tex]21 = x + 19[/tex]
Finally, subtract 19 on both sides to isolate x.
- ⇒ [tex]21 - 19 = x + 19 - 19[/tex]
- ⇒ [tex]\boxed{2 = x}[/tex]
Therefore, the value of x is 2.
Learn more about one-variable equations: https://brainly.com/question/7783291
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
