Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
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
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.