Test of Essential Academic Skills (TEAS) ATI Mathematics Practice Test

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Solve for x: 2x + 6 = 14

x = 4
x = 8
x = 10
x = 13

The correct answer is: 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.