Which number, when substituted for x, makes the equation 4x+8=164x+8=16 true?
x = 2
4x + 8 = 16
-8 -8
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4x= 8
-- --
4 4
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x=2
Answer:
\(x=2\)
Step-by-step explanation:
We have been given an equation \(4x+8=16\). we are asked to find the value of x that makes our given equation true.
Let us solve our given equation for x using opposite operations.
Subtract 8 from both sides:
\(4x+8-8=16-8\)
\(4x=8\)
Divide both sides by 4:
\(\frac{4x}{4}=\frac{8}{4}\)
\(x=2\)
Therefore, \(x=2\) is the solution for our given equation.
Let us verify our answer:
\(4x+8=16\)
\(4(2)+8=16\)
\(8+8=16\)
\(16=16\)
Both sides are equal. Hence proven \(x=2\) is solution for our given equation.