Question

solve the equation.
8 - 2x = -8x + 14
x = -1
x = -\frac{3}{5}
x = \frac{3}{5}
x = 1

Explanation:

Step1: Add \(8x\) to both sides

To get all the \(x\)-terms on one side, we add \(8x\) to both sides of the equation \(8 - 2x=-8x + 14\). This gives us \(8 - 2x+8x=-8x + 14+8x\), which simplifies to \(8 + 6x=14\).

Step2: Subtract 8 from both sides

Next, we isolate the term with \(x\) by subtracting 8 from both sides. So, \(8 + 6x-8=14 - 8\), which simplifies to \(6x = 6\).

Step3: Divide by 6

Finally, we solve for \(x\) by dividing both sides by 6. \(\frac{6x}{6}=\frac{6}{6}\), which gives \(x = 1\).

Answer:

\(x = 1\) (corresponding to the option: \(x = 1\))