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

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Solve for x: 4(2x-6) = 10x - 6

x = 5
x = -7
x = -9
x = 10

The correct answer is: x = -9

To solve the equation $ 4(2x - 6) = 10x - 6 $, we start by distributing the 4 on the left side: \[ 4 \times 2x - 4 \times 6 = 8x - 24 \] Now, the equation looks like this: \[ 8x - 24 = 10x - 6 \] Next, we want to isolate the variable $ x $. To do this, we can rearrange the equation by first getting all terms involving $ x $ on one side and constant terms on the other side. We can subtract $ 8x $ from both sides: \[ -24 = 2x - 6 \] Now, we add 6 to both sides to move the constant term: \[ -24 + 6 = 2x \] This simplifies to: \[ -18 = 2x \] Next, to solve for $ x $, we divide both sides by 2: \[ x = \frac{-18}{2} = -9 \] Thus, the correct value for $ x $ is -9. This matches with