What is the solution to the linear equation 2x - 3 = 5x + 6?a.x = -1b.x = -3c.x=1d.x=3

To solve the linear equation 2x - 3 = 5x + 6, follow these steps:

Step 1: Rearrange the equation to get all terms involving x on one side and the constants on the other side. This can be done by subtracting 2x from both sides and subtracting 6 from both sides. This gives:

2x - 2x - 3 = 5x - 2x + 6 - 6 This simplifies to: -3 = 3x + 6

Step 2: Now, subtract 6 from both sides to isolate the term with x:

-3 - 6 = 3x This simplifies to: -9 = 3x

Step 3: Finally, divide both sides by 3 to solve for x:

-9 / 3 = x This simplifies to: x = -3

So, the solution to the equation 2x - 3 = 5x + 6 is x = -3. Therefore, the correct answer is b. x = -3.