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

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What is the solution for x in the equation 4 = 2(x + 6)?

x = 8
x = -4
x = -8
x = 4

The correct answer is: x = -4

To find the solution for $ x $ in the equation $ 4 = 2(x + 6) $, start by simplifying the equation. First, distribute the $ 2 $ on the right side: \[ 4 = 2x + 12 \] Next, isolate the term containing $ x $ by subtracting $ 12 $ from both sides: \[ 4 - 12 = 2x \] This simplifies to: \[ -8 = 2x \] Now, to solve for $ x $, divide both sides by $ 2 $: \[ x = \frac{-8}{2} \] This further simplifies to: \[ x = -4 \] Thus, the solution for $ x $ is $ -4 $. This value indicates that if you substitute $ -4 $ back into the original equation $ 4 = 2(x + 6) $, both sides will equal, verifying the solution. The correct answer is $ x = -4 $.