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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
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