Solve for x: 2x−4x−3=−27.(1 point) Responses x=12 x equals 12 x=−4 x equals negative 4 x=4 x equals 4 x=−12

Question

Solve for x: 2x−4x−3=−27.(1 point) Responses  x=12 x equals 12  x=−4   x equals negative 4  x=4   x equals 4  x=−12

GPT-4o mini · Answer

To solve the equation $ 2x - 4x - 3 = -27 $, we can simplify it step by step. 1. Combine the like terms on the left side: $$ 2x - 4x - 3 = -2x - 3 $$ So, the equation becomes: $$ -2x - 3 = -27 $$ 2. Next, add 3 to both sides of the equation to isolate the term with $ x $: $$ -2x = -27 + 3 $$ $$ -2x = -24 $$ 3. Divide both sides by -2 to solve for $ x $: $$ x = \frac{-24}{-2} $$ $$ x = 12 $$ Therefore, the solution is: $$ x = 12 $$ The correct response is $ x = 12 $, or "x equals 12".