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Solve for x: 2x + 6 = 14

x = 4

To solve the equation \(2x + 6 = 14\), begin by isolating the term that contains \(x\). The first step is to eliminate the constant term on the left side, which is 6. This can be done by subtracting 6 from both sides of the equation:

\[

2x + 6 - 6 = 14 - 6

\]

This simplifies to:

\[

2x = 8

\]

Next, to solve for \(x\), divide both sides by 2, the coefficient of \(x\):

\[

x = \frac{8}{2}

\]

This results in:

\[

x = 4

\]

Thus, the solution \(x = 4\) is confirmed as the correct answer. This means that substituting \(x = 4\) back into the original equation will satisfy it, since:

\[

2(4) + 6 = 8 + 6 = 14

\]

The other options do not satisfy the original equation when substituted for \(x\), thus confirming that \(x = 4\) is indeed the only valid solution.

Get further explanation with Examzify DeepDiveBeta

x = 8

x = 10

x = 13

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