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

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Solve for x: 2x + 4 = x - 6

x = -12
x = 10
x = -16
x = -10

The correct answer is: x = -10

To solve the equation $2x + 4 = x - 6$, begin by isolating the variable $x$. First, subtract $x$ from both sides to eliminate $x$ from the right side: \[ 2x - x + 4 = -6 \] This simplifies to: \[ x + 4 = -6 \] Next, subtract 4 from both sides to further isolate $x$: \[ x = -6 - 4 \] Combine the terms on the right side: \[ x = -10 \] Thus, the correct solution to the equation is $x = -10$. This solution demonstrates the proper application of algebraic operations to isolate the variable successfully, ensuring that the balance of the equation is maintained throughout the process.