Question

solve the equation
2x - 4 = 3x + 7

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution is x = \boxed{}. (type an integer or a fraction.)
b. the solution is all real numbers.
c. there is no solution.

Explanation:

Step1: Subtract \(2x\) from both sides

To isolate the variable terms, we subtract \(2x\) from each side of the equation \(2x - 4 = 3x + 7\). This gives us \(-4 = x + 7\).

Step2: Subtract 7 from both sides

Now, to solve for \(x\), we subtract 7 from both sides of the equation \(-4 = x + 7\). So, \(-4 - 7 = x\), which simplifies to \(x = -11\).

Answer:

A. The solution is \(x = -11\).