<u>Equation:</u>
2/x - 3 = 4/x + 4
<u>Let's solve your equation step-by-step.</u>
2/x - 3 = 4/x + 4
2/x + - 3 = 4/x + 4
Multiply all terms by x and cancel:
2 + −3x = 4 + 4x
−3x + 2 = 4x + 4 <u>(Simplify both sides of the equation)</u>
−3x + 2 − 4x = 4x + 4 − 4x <u>(Subtract 4x from both sides)</u>
−7x + 2 = 4
−7x + 2 − 2 = 4 − 2 <u> (Subtract 2 from both sides)</u>
−7x = 2
-7x/ -7 = 2/ -7
x = -2/7
<u>Check answers. (Plug them in to make sure they work.)</u>
x = -2/7 <u> (Works in Original Equation)</u>
<u>Therefore, your answer is : </u>
2/x - 3 = 4/x + 4
x = -2/7
Decimal: x = 0.28571
<u>So, Letter Choice, (D), would be the best answer to your Equation: -2</u>
Hope that helps!!!! : )