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Question 8 (2 points)
\large x=\frac{1}{2}



is the solution to the equation:



\large 4x+12-8x=-1+2x+10.

True
False

Sagot :

Absor201idn

Answer:

[tex]\mathbf{x=\frac{1}{2}}[/tex] is the solution to the equation: [tex]4x+12-8x=-1+2x+10[/tex]

The statement is true.

Option A is correct.

Step-by-step explanation:

We need to determine if [tex]x=\frac{1}{2}[/tex] is the solution to the equation: [tex]4x+12-8x=-1+2x+10[/tex]

Solving the equation first to find value of x

[tex]4x+12-8x=-1+2x+10[/tex]

Combining like terms:

[tex]4x-8x+12=2x+10-1\\-4x+12=2x+9[/tex]

Subtracting 2x on both sides

[tex]-4x+12-2x=2x+9-2x\\-4x-2x+12=9\\-6x+12=9[/tex]

Now, subtracting 12 on both sides

[tex]-6x+12-12=9-12\\-6x=-3\\[/tex]

Divide both sides by -6

[tex]\frac{-6x}{-6}=\frac{-3}{-6}\\x=\frac{1}{2}[/tex]

So, we get  [tex]\mathbf{x=\frac{1}{2}}[/tex]

Therefore we can say that [tex]\mathbf{x=\frac{1}{2}}[/tex] is the solution to the equation: [tex]4x+12-8x=-1+2x+10[/tex]

The statement is true.

Option A is correct.

Deairahsimmons804idn
The Answer is not false but true
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